# 1. Find the vertex of the parabola: 4y^2+4y-16x=0 2. Find an equation of the parabola, opening down, with vertex (-3,1) and solution point (4,-5). 3. The main cables of a suspension bridge are 20 meters above the road at the

110,943 questions
1. ## Pre - Cal

1. Find the vertex of the parabola: 4y^2+4y-16x=0 2. Find an equation of the parabola, opening down, with vertex (-3,1) and solution point (4,-5). 3. The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the

asked by Veronica on May 5, 2014
2. ## MATH! Urgent

umm suppose a parabola has a vertex at (0,2) and points (1,1) how would I derive the equation and focus, i've been trying to understand this for so long, I can't get it. Does this parabola have the equation (y-2)^2 = x and a focus of 1/4?? Is that

asked by sally on November 2, 2006
3. ## Algebra

An engineer designs a satellite dish with a parabolic cross section. The dish is 10 ft wide at the​ opening, and the focus is placed 8 ft from the vertex. ​a) Position a coordinate system with the origin at the vertex and the​ x-axis on the​

asked by Lacey on November 16, 2016
4. ## Algebra

An engineer designs a satellite dish with a parabolic cross section. The dish is 14 ft wide at the​ opening, and the focus is placed 4 ft from the vertex. ​a) Position a coordinate system with the origin at the vertex and the​ x-axis on the​

asked by Jason on November 16, 2016
5. ## math

A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E) The vertex of the parabola

asked by claudia on May 15, 2007
6. ## math

A parabola has the equation y = 4(x-3)^2-7 Choose 2 true statements: A) The parabola has a minimum value B) The parabola has a maximum value C) The parabola does not cross the y-axis D) The parabola does not cross the x-axis E) The vertex of the parabola

asked by claudia on May 14, 2007
7. ## algebra pls pls help

The equation f(x) = 4x^2 − 16x + 9 represents a parabola. What is the vertex of the parabola? (2, −7) (−2, 57) (4, 9) (−4, −137) is it a pls helpme

asked by Oscar on May 12, 2016
8. ## algebra

The equation f(x) = 4x2 − 16x + 9 represents a parabola. What is the vertex of the parabola? (2, −7) ( −2, 57) (4, 9) ( −4, −137)

asked by al on April 11, 2016
9. ## MATH

a. Write an equation compared to the equation of the standard parabola that satisfies the description of each parabola. 1. A parabola whose vertex is (0, -3) 2. A parabola whose vertex is (5, 1) 3. A parabola that opens down and is compressed vertically by

asked by NAMELESS on December 31, 2018
10. ## pre cal

What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y = 0 2.Which one of the following equations represents a hyperbola? (5 points) A) 3x^2 + y^2 + 12x - 7 = 0 B) 3x^2 + 3y^2 + 12x - 7 = 0 C) 3x^2 + y + 12x - 7 = 0 D) 3x^2 - 3y^2 + 12x - 7

asked by Mecie on April 16, 2012
11. ## Algebra

The vertex of a parabola represented by f(x)=x^2-4x+3 has coordinates of (2,-1). Find the coordinates of the vertex of the parabola defined by g(x)=f(x-2). Explain how you arrived to your answer. My question: Would you move the parabola represented by f(x)

asked by Anon on May 2, 2016
12. ## algebra

6. Find the equation of each parabola described below. a) parabola with vertex (0,0) and the focus (0,7) b) parabola with focus (-3,0) and directrix x=3 c) parabola with vertex (3,3) and directrix x=-1 d) parabola with focus (-2,-1) and directrix y=5 e)

asked by samantha on June 15, 2008
13. ## Alg II/Trig

A parabola has a vertex at (0,0); a horizontal axis; and the point (12,6) is on the parabola. Write the equation of the parabola in standard form.

asked by Sara on February 22, 2009
14. ## MATH

a parabola passes via the points (1.5,1) and (3,-5). given that the vertex lies on the line 7x+3y-4=0,find the focus and the equation of the parabola

asked by KEV on May 18, 2012
15. ## ALGEBRA 1

Please check for me.Without drawing the graph of the given equation determine (a)how many x-intercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^2-5x+6 I use the determinant sqrt b^2 -4ac (-5)^2-4(1)(6))=1 There are two

asked by DANIELLE on April 24, 2007
16. ## ALGEBRA 1

Please check for me.Without drawing the graph of the given equation determine (a)how many x-intercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^2-5x+6 I use the determinant sqrt b^2 -4ac (-5)^2-4(1)(6))=1 There are two

asked by DANIELLE on April 24, 2007
17. ## Algebra2....

1.) Y=-lx+1l+3 Are these correct? y-intercept=(0,2) x-intercept=(4,0) (-2,0) vertex=(-1,3) domain=all real numbers range: y

asked by Anonymous on December 19, 2012
18. ## Alg 2 (ASAP)

I have a parabola vertex (11,3) p is not given, focus pt is not given. I need to find the equation of the parabola. How would I do this w/o p value or focus pt? you cant. Þhere are an infinite number of parabolas that have that vertex.

asked by masha on June 5, 2007
19. ## College Algebra

Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (-1, 1/8); vertical axis. There is no focus of the parabola or equation given, so how am I suppose to solve this

asked by Joy on October 14, 2013
20. ## College Algebra

Find the standard form of the equation of the parabola with the given characteristics and vertex at the origin. Passes through the point (-5, 1/8); vertical axis. There is no focus of the parabola or equation given, so how am I suppose to solve this

asked by Joy on October 14, 2013
21. ## Algebra

I'm trying this again, I'd like the quadratic form, so i can then work the intercepts myself. SO: what's the quadratic form of 1/4(x+3)^2-4 I need it to find the intercepts of the parabola it describes. Check: I think the parabola is 1/4 scaled, moved 3 to

asked by charlie on March 21, 2007
22. ## math

Find the vertex of the parabola. y = -4x2 - 16x - 11

asked by mae on November 16, 2009
23. ## Math

Find the vertex of the parabola. y = -4x2 - 16x - 11

asked by CC on June 7, 2011
24. ## PRECAL

Find a Parabola with Vertex (3,1) Focus (4,1) Find the vertex of 4y^2+4y-16x+13=0 Find the center of an ellipse 9x^2+4y^2-36x-24y-36=0 Find an ellipse with minor axis of 8 and vertices at (-9,3),(7,3)

asked by sue on December 29, 2010
25. ## precal help

Find a Parabola with Vertex (3,1) Focus (4,1) Find the vertex of 4y^2+4y-16x+13=0 Find the center of an ellipse 9x^2+4y^2-36x-24y-36=0 Find an ellipse with minor axis of 8 and vertices at (-9,3),(7,3)

asked by sue on December 30, 2010
26. ## math

A cross-section of a parabolic reflector and bulb is located at the focus is 16cm.find the equation of the parabola and the diameter of the opening (R,S),11cm from the vertex

asked by Ahmad on August 17, 2018
27. ## algebra

Suppose a parabola has vertex (-4,7) and also passes through the point (-3,8), write the equation of the parabola in vertex form.

asked by Lilah on November 2, 2015
28. ## math

A parabola passes through the point (3, 5) on its way to the vertex at (7, 11). Determine the equation in vertex form that represents this parabola.

asked by T on April 30, 2018
29. ## algebra

Suppose a parabola has a vertex (-4,7) and also passes through the point (-3,8) Write the equation of the parabola in vertex form. f(x)=a(x-h)^2+k I believe h=-4 k=7 Not sure what to do from here.

asked by Lee on October 29, 2012
30. ## Parabola Help

by plotting the graph of parabola y=2+3x-2x^2 which 3 option are true 1) the graph is the same as that of y=6+9x-6x^2 2)the parabola has a minimum point 3)the gradient of the parabola at x=2 is 0 4)the graphy=2+3x-2x^2crosses the x-axis at the same point

asked by rai on April 30, 2010
31. ## Math

1.) If a = 2 and the vertex of a parabola is (3, -4), will there be a minimum or maximum value for the parabola? What is the value? 2.) If a = 2 and the vertex of a parabola is (3, -4), what is its axis of symmetry?

asked by Ben on October 7, 2014
32. ## Pre Cal

write the equations of the parabola, the directrix, and the axis of symmetry. vertex: (-4,2) focus: (-4,6) if someone could explain how to do this problem then that would be great! thanks in advance! Formats to help you find the equation for a parabola: (x

asked by Marie on March 7, 2007
33. ## Algebra

Can you please help me with the below question: The vertex of a parabola is located at (-12, -1). The parabola also passes through the point (-10, 5). Write the equation of this parabola in both vertex form and standard form. Vertex form: Standard form:

asked by Janae on March 4, 2017
34. ## calculus

find the vertex,focus, direction of the parabola. use a graphing utility to graphthe parabola: 1) x^2-2x+8y+9=0 2) y^2-4y-4y=0 3) x=1/4(y^2+2y+33) 4)(x+1/2)^2=4(y-1) 5) y= 1/4(x^2-2x+5)

asked by reem on May 1, 2011
35. ## Math

What is the equation of the parabola with a focus of (4, 5) and a vertex of (4, 2) opening upwards? y - 2 = 1/12(x - 4)^2?

asked by Anonymous on May 25, 2015
36. ## math

Hello. Please, help me solve this: Parabola y = ax^2 + bx + c passes through the point (2;-6). Find the values of a, b and c, if vertex of parabola is (4;-10).

asked by eve on May 19, 2012
37. ## Geometry

P(2ap, ap^2) is a any point on the parabola x^2=4ay other than its vertex. The normal at P meets the parabola again at Q. Find the coordinates of Q.

asked by Shanu on January 24, 2015
38. ## math

write an equation for the parabola with focus (1,3) and vetex (0,3) See the paragraph Analytic Geometry Equations. You will have a choice of equations, you did not state whether the axis of symettry was parallel to x or y axis.

asked by Marissa on August 12, 2007
39. ## Calculus

Find a formula for the following function. A parabola opening downward with its vertex at (6,1) and y -intercept equal to -35. (y-1)^2=4(-35)(x-6) Please help

asked by George on October 16, 2008
40. ## math help,algebra

Okay this is what i have to do but i think i am doing something wrong. directions are: Identify the axis of symmetry, create a suitable table of values, and sketch the graph (including the axis of symmetry). The problem is: y = -x^2+6x-2 so i did my table

asked by jas20 on February 20, 2007
41. ## Math, Please Help!!!

an engineer designs a satellite dish with a parabolic cross section. The dish is 15 ft wide at the opening and the focus is placed 4 ft from the vertex. find an equation of the parabola. I know how to work this problem, but how do I know that I use the

asked by BOB on November 15, 2011
42. ## Please Help!!!!!!

an engineer designs a satellite dish with a parabolic cross section. The dish is 15 ft wide at the opening and the focus is placed 4 ft from the vertex. find an equation of the parabola. I know how to work this problem, but how do I know that I use the

asked by Desperate!!!! on November 15, 2011
43. ## math

1 identify the coordinates of the vertex and the equation of the axis of summetry of the parabola x=2 (y-1)^2+3 A. The vertex of the parabola is (1,3), and the equation of the axis of symmetry B. the vertex of the parabola is (3,1) and the equation of the

asked by Kim on May 21, 2014
44. ## Math

If f(x)=3x^2-5x, find the f'(2) & use it to find an equation of tangent line to the parabola y=3x^2-5x at the point (2,2). My ans is f'(2)=7 & y=7x-12. What is parabola exactly? & is the any possibility if the eqtn of f(x) is not the same with parabola

asked by Ifi on October 28, 2012
45. ## Algebra 2

Point (-6,-2) lies on a parabola that has its vertex at (0,1). Write the equation of the parabola. Indicate whether the graph opens up or down.

asked by Dana on October 13, 2010
46. ## Math

determine vertex, focus and directrix of parabola. then graph the parabola. second equation: y^2 -4y -12x= 8

asked by doug on May 18, 2008
47. ## ECTC

Determine the equation of a parabola with vertex (7, -2), and passing through the point (6, 0). Graph the parabola.

asked by Tanisha H on September 3, 2017
48. ## Algebra 2

The equation of a parabola is 12y=(x-1)^2-48. Identify the vertex, focus, and directrix of the parabola.

asked by T on May 3, 2019
49. ## Algebra

Consider the graph of the equation y=ax^2+bx+c, when a does not equal 0. If a is multiplied by 3, what is true of the graph of the resulting parabola? (A) The Vertex is 3 units above the vertex of the original. (B) The new parabola is wider than the

asked by Kelsey on May 14, 2009
50. ## Math

determine vertex, focus and directrix of parabola. then graph the parabola. first equation: y^2 -2x-8=0 second equation: y^2 -4y -12x= 8 please show your work!

asked by doug on May 18, 2008
51. ## algebra

A parabola has x-intercepts at 3 and 7, a y-intercept at -21, and (5,4) for its vertex. Write the parabola’s equation

asked by Sandra on July 19, 2009
52. ## algebra

I would like to have some help on this problem please. I'm so post to find the vertex and axis of the parabola.Does anyone have an idea? Y=x²-16x+63. A)vertex(8,-1)axis=x=8 B)vertex(8,1)axis=x=8 C)vertex(-8,-1)axis=x=-8 D)vertex(-8,1)axis=x=-8

asked by Zouhoer on January 25, 2010
53. ## math

determine vertex, focus and directrix of parabola. then graph the parabola. first equation: y^2 -2x-8=0 second equation: y^2 -4y -12x= 8

asked by doug on May 18, 2008
54. ## maths

Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The Axis and vertex of the parabola (ii)The focus and the directrix (iii)The distance from the directrix to the focus

asked by mary on February 27, 2012
55. ## Algebra

Suppose a parabola has an axis of symmetry at x = -2, a minimum height at -6, and passes through the point (0, 10). Write the equation of the parabola in vertex form.

asked by Anonymous on November 30, 2016
56. ## Math

determine vertex, focus and directrix of parabola. then graph the parabola. second equation: y^2 -4y -12x= 8 Please help me this is do 2day bc i forget to turn it in to my teacher

asked by doug on May 18, 2008
57. ## Algebra 2 Homework

1.) Identify the axis of symmetry. f(x) = x2 + 10x + 9 2.) Find the vertex for the parabola given below. f(x) = 3x2 + 12x + 16 3.) Find the quadratic function that includes each set of values. (1, 0), (2, 5), (4, 21) 4.) f(x) = -2x2 - 3x + 35 Is this

asked by Ria on February 27, 2014
58. ## Calculus

Find expressions for the quadratic functions whose graphs are shown. One graph has the point (4,2) plotted in which the parabola passes through (U-shaped parabola- right side up) The vertex is at (3,0) and the parabola does not touch the y-axis for as much

asked by Chelsea on September 21, 2010
59. ## math

Which of the following could identify the transformation of a parabola with a vertex of (-4,-6) to a parabola with a vertex of (1,-6) 1) f(x)+5 2) 5f(x) 3) f(x+5) 4) f(x-5) I added the two x values. so you will need to add 5 to transform it. my choice is

asked by sara on October 21, 2018
60. ## Quadratic Equations and Functions

I started having trouble on part (c), and I need to know this before I can go onto the other problems. Plz help! The parabola shown at the right (no picture, sorry) is of the form y=x^2+bx+c. The graph's y-intercept is (0,2), the axis of symmetry is -2.5

asked by Emily on February 4, 2007
61. ## math

An equitorial triangles is inscribed in the parabola y^2=4ax, where one vertex is vertex of parabola. what will be the length of the side of triangle?

asked by sonu on August 8, 2011
62. ## Math

I need help in finding the vertex of a parabola using an equation in this form: Ax^2 + Bx+C I have a test on this tomorrow. For example: 3x^2 +1x - 2 How would I find the vertex in this?

asked by Clair on December 8, 2009
63. ## algebra2

A parabola has a vertex (4,2) and contains the point (-2,26). what is the equation of the parabola?

asked by Kathy on February 18, 2014
64. ## Algebra 2

Find the equation for the parabola with the given vertex that passes through the given points. vertex (-4,2) point (-3,0) please show work!!!

asked by Alicia on January 11, 2015
65. ## precallcuslus

can you check my work and explain the last question because I do not uderstand. Explain what each of the following represents, and how y = a(x - h)2 + k, a ≠ 0 and (x - h)2 = 4p(y - k), p ≠ 0 are equivalent. The equation (x - h)2 = 4p(y - k), p ≠ 0

asked by Anonymous on December 5, 2016
66. ## maths

An equilateral triangle is inscribed in parabola y^2=4axsuch that the vertex of the triangle is at vertex of parabola find area of triangle

asked by ash on April 16, 2016
67. ## Quadratic Equations and Functions

I started having trouble on part (c), and I need to know this before I can go onto the other problems. Plz help! The parabola shown at the right (no picture, sorry) is of the form y=x^2+bx+c. The graph's y-intercept is (0,2), the axis of symmetry is -2.5

asked by Emily on February 4, 2007
68. ## Algebra 1 parabola's

I have a graph with a parabola on it and asked to write the function for f(x) in standard form. I know that standard is y=ax^2+bx+c obviously, since the points are on the graph we know x and y so a,b and c need to be found. The vertex is on (4,-4) the

asked by HELP on September 5, 2013
69. ## analytic geometry

A parabola y=ax^2+bx+c has vertex (4,3). If (3,0) is on the parabola, find a.

asked by AJ on October 30, 2018
70. ## MATH

47. The equation y = 4.5x² + 9x + 15 describes the height of a diver, in metres, at x seconds. Change this equation into vertex form by completing the square. State the y-intercept, the equation of the axis of symmetry, and the vertex. B. Before locating

asked by pewdiepie on December 31, 2018
71. ## algebra 2

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why a. factor the equation b.

asked by wordss on October 20, 2016
72. ## Algebra2

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Identify which form would be more helpful if you needed to do each task listed below and explain why. a- factor the equation b-

asked by Steve on October 31, 2016
73. ## Algebra

Find the vertex of the functions given below. 1. y=(x-4)(x+2) 2. y=2x^2-4x+1 The midpoint of the x-intercepts of a parabola has the same x value as the vertex. the x-intercepts are obviously x=4 and x=-2 so the x value of the vertex is...... sub that back

asked by Algebra student on May 8, 2007
74. ## precalculus

graph the parabola y=2x^2-6x-3. plot point on the parabola A[1,-7] and draw a line through A with an angle of inclination equal to 30 degrees. then find the equation of the line and its second point of intersection B, with the parabola

asked by jan on November 28, 2011
75. ## Algebra

Find the equation of the parabola with its vertex at (h,k). Vertex: (-2.1) Focus: (-5,1) I know I put it into (y-k)^2=4(p)(x-h) so (y-1)^2=4(p)(x+2). How do I find the value of p?

asked by Anonymous on March 19, 2014
76. ## Algebra

Find the equation of the parabola with its vertex at (h,k). Vertex: (-2.1) Focus: (-5,1) I know I put it into (y-k)^2=4(p)(x-h) so (y-1)^2=4(p)(x+2). How do I find the value of p?

asked by Anonymous on March 19, 2014
77. ## algebra problem

I need to find the equation of a parabola. I am not sure if this is the correct way or if I have the correct answer. Vertex at origin, focus is at (0,3) Equation of parabola vertex (0,0) focus (0,3) focus (h,k+p) (0,0+3) y=0-3 directrix y=-3 a=(1/4)(p)

asked by Tim on April 30, 2008
78. ## Algebra

Can someone tell me if I am right? I need to find the equation of a parabola. I am not sure if this is the correct way or if I have the correct answer. Vertex at origin, focus is at (0,3) Equation of parabola vertex (0,0) focus (0,3) focus (h,k+p) (0,0+3)

asked by Tim on April 30, 2008
79. ## Algebra

Find an equation of a parabola with the vertex at (3, -8) and (5, -2).

asked by DU on May 12, 2014
80. ## Albebra

Find the vertex of the function y = –x2 + 2x + 8. It is where the derivative -2x + 2 = 0. Since you probably haven't learned about derivatives, do it this way: Rewrite is as -x^2 +2x +8 = -(x-1)^2 + 7 Now look at the form of the formula on the right. It

asked by Joel on March 20, 2007
81. ## Calculus

Great! I understand now that C0=f(a) c1=f'(a) c2=f"(a)/2 Now, If I am to find the parabolization of the equation x^2-x at x=2, then c0=x^2-x=2^2-2=2 c1=2x-1=2(2)-1=3 c2=2/2=1 So, the equation (taken from c0+c1(x-a)+c2(x-a)^2) is >> 2+3(x-2)+1(x-2)^2?? Is

asked by Matt on November 13, 2006
82. ## Math

Write the equation of a parabola, in standard form, that goes through these points: (0, 3) (1, 4) (-1, -6) ax^2 + bx + c = y a * 0^2+b*0+c = 3 a*1^2+b+1+c = 4 a*(-1)^2+b(-1)+c = -6 c = 3 a + b + c = 4 a – b + c = -6 a + b + 3 = 4 a – b + 3 = -6 Graph

asked by Anonymous on June 22, 2017
83. ## math

Find the coordinates of vertex for the parabola given by the equation f(x)=3x^2-x-1

asked by Corrine on July 26, 2012
84. ## Math

find the equation of a parabola that has a vertex of (-2,-3) and contains the point (4,1).

asked by Isaiah on March 28, 2016
85. ## pre calculus

Find the equation of a Parabola with Vertex: (2,-1) and directrix: x= -2

asked by Anonymous on December 5, 2016
86. ## precalculus

Find the equation of a Parabola with Vertex: (-2,4) and directrix: y=7

asked by Anonymous on December 5, 2016
87. ## Math/Conics

Find the vertex and focus of the parabola with the following equation: y = x2 + 6x + 5

asked by tori on February 23, 2012
88. ## Math

how do i find the equation of a parabola given x intercepts x=0 and x=6 and a vertex at (3,4)?

asked by Cody on November 25, 2011
89. ## Math

14) Consider the parabola with equation y = x^2 - 6x + 5. a. Use any suitable method to determine the coordinates of the turning point of this parabola. b. Hence, state for which values of c the line y = c will intersect the parabola: i. twice ii. once

asked by Anonymous on September 20, 2018
90. ## calculus

Find the area of the largest rectangle that has its lower base on the x-axis and its upper vertices on the parabola whose equation is given by Y=12-x^2. i graphed the equation but its gives me a parabola, so i don't know what to do after that

asked by maricela on May 10, 2007
91. ## math

Find the equation of a parabola where the vertix is at origin and the parabola opens to the left and passes through (-1,2).

asked by pallavi on March 15, 2016
92. ## Math

Find an equation of the parabola. vertex:(-1,2) focus:(-1,0) (x+1)^2 = 4p(y-2) (x+1)^2 = 0(y-2) (x+1)^2 = (y-2) Correct?

asked by Abbey on May 4, 2010
93. ## mathematics

Find the equation of the parabola with the vertex at the origin and directrix y =5

asked by victor on August 3, 2011
94. ## Algebra

Find an equation of a parabola with a vertex at the origin and directrix y =–4

asked by Anonymous on December 5, 2016
95. ## Algebra

Find an equation of a parabola with a vertex at the origin and directrix y= -4

asked by Anonymous on December 5, 2016
96. ## math

Consider the parabola that passes through the points (2,6)(-1,12) and (0,6) Find the equation and the vertex

asked by janet! on February 24, 2010
97. ## Math

a parabola has vertex (-6,-12) AND PASSES THROUGH (6,24) find its equation in the form ax^2+bx+c

asked by jeff on July 21, 2009
98. ## Algebra

How do you find the coordinates of a vertex of a parabola using the quadratic equation?

asked by Grace on March 11, 2008
99. ## Math

Find an equation of the parabola. vertex:(-1,2) focus:(-1,0) (x+1)^2 = 4p(y-2) (x+1)^2 = 0(y-2) (x+1)^2 = (y-2) Am I correct?

asked by Abbey(Please help) on May 5, 2010
100. ## parabolas

Find the equation and sketch the parabola that has vertex V (-1; 0) and focus F(-4; 0).

asked by dylan on May 6, 2013