Find the equation of the parabola whose axis of symmetry is horizontal and passes through the points (1, 2), (3, 2) and (7, 6).
134,706 results
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 xaxis on the

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 (Ushaped parabola right side up) The vertex is at (3,0) and the parabola does not touch the yaxis for as much

Algebra
Please Help Guys! 1) Why is f(x)=(3x+13)2+89 not the vertex form of f(x)=9x2+2x+1? A.The expression has a constant outside of the squared term. B. The expression is not the product of two binomials. C. The variable x has a coefficient. D. Some of the terms

algebra
Find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y= 2x8x+3

maths
how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ? please explain it do me thanks! The line of symmetry runs through the vertex. so the x of the vertex is b/(2a) and the equation of the line of symmetry is x = b/(2a) e.g. for

Pre Cal.
1. Identify the conic section represented by: 9y^2+4x^2  108y+24x= 144? Is it ellipse. 2. Find the coordinates of the vertex and the equation of the axis of symmetry for the parabola represented by: x^2 + 4x  6y + 10 = 0. vertex: (2 , 1) axis of

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

AlgebraPolynomails
Please explain to me orgin of symmetry, yaxis semmetry, or if its neither. 1. Determine whether the graph of the polynomial has yaxis symmetry, origin symmetry, or neither. f(x) = 4x^2  x^3 this is how I did it: f(x)=(4x^2)x^3,I got this was orgin

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

calculus
write the vertex form equation of each parabola. 1) Vertex:(5,8), Focus:(21/4, 8) 2) Vertex:(6,9), Directrix: x= 47/8 3)Vertex(8,1) y intercept: 17 4) Open left or right, Vertex: (7, 6), passes through:(11,9) 5)Focus(63/8, 7), Directrix: x= 65/8

math
Suppose a parabola has an axis of symmetry at x = −2, a maximum height of 7 and also passes through the point (−1, 6). What is the equation of the parabola in vertex form?

precalculs
Explain what each of the following represents, and how equations (a) and (b) are equivalent. (a) y = a(x  h)2 + k, a ≠ 0 (b) (x  h)2 = 4p(y  k), p ≠ 0 (c) (y  k)2 = 4p(x  h), p ≠ 0 can you check my work and explain how equations (a) and (b) are

Algebra
Can you please help me with the following problems? Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x  4)2  4 Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x)

math
A parabola f intersect the x axis at B and C and the yaxis at E.The axis of symmetry of the parabola has equation x=3.The line through E and C has equation g(x)=x/27/2. Calculate the x coordinate of B

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

PreCalculus
2 towers of a suspension bridge are 1000 meters apart and are 160 meters high. The cable between 2 towers hangs in a shape of parabola, which at its lowest is 40meters above the road. A. Find the equation of the parabola, if we put a coordinate system so

Algebra
Find the axis of symmetry for y=x^2+4x7 Find the axis of symmetry for y=3x^218x+1 Find the axis of symmetry for y=5x^2+10+3 Determine if the vertex is a maximum or minimum and identify it y=2x^23 Determine etc etc for y=x^22x Determine etc etc for

Analytic Goemetry
Find the equation of the parabola whose axis is horizontal, vertex on the yaxis and which passes through (2,4) and (8,2).

MATH
How can I find the vertex, axis of symmetry? I know to find x and y intercepts i use the quadratic formula. I am given the parabola y=x^2+6x+5 I do not want the answer.. Just please explain to me how to solve for it. what method do I use???

Parabola Ques
Find the point P on the parabola y^2 = 4ax such that area bounded by parabola, the Xaxis and the tangent at P is equal to that of bounded by the parabola, the Xaxis and the normal at P.

College Algebra
Find the equation of the parabola y = ax2 + bx + c that passes through the points. To verify your result, use a graphing utility to plot the points and graph the parabola. (−2, −15), (−1, −4), (1/2,10) y=?

math
the points (9,0) and (19,0) lie on parabola. a.) determine an equation for its axis of symmetry: X=5 b.) the ycoordinate of the vertex is 28. determine an equation for the parabola in factored form. c.)write your equation in part b) in standard form.

Algebra
All parabolas are symmetric with respect to a line called the axis of symmetry. A parabola intersects its axis of symmetry at what point? a. vertex b. function c. translation d. yintercept Is it A. vertex?

Math
Write the equation of the parabola with vertex at (2,1), axis the line y1=0 and passes through (5,0).

maths
A parabola f intersect the xaxis at B and C and the yaxis at E.The axis of symmetry of the parabola has equation x=3.The line through E and C has the equation g(x)=x÷27÷2 1.1 Show that the coordinates of C are (7;0).

Mathematics
A parabola F intercepts the xaxis at B and C and yaxis at E The axis of symmetry of the parabola has equation of x=3. The line through E and C has equation g(x)=×/2  7/2 Show that the coordinates of C are (7:0)

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

CollegeCalc
a parabola has a focus of (3,4) and a directrix with equation: 3x4y25. Since the distance from the focus to a point (x,y) on the parabola is : squareroot (x+3)^2 +(74)^2 and is equal to the distance from the point (x.y) to the line which is 16x^2 +

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 xaxis on the

Algebra2/Trig
Find an equation of the parabola with vertex at the origin. Passes through the point (4,6); horizontal axis. I know it has to be y^2=4px. But I don't know what to do with (4,6). Please show step by step. Thanks.

Algebra 2
3. Identify the vertex and the axis of symmetry of the graph of the function y = 3(x + 2)2 – 3. (1 point) A vertex: (2, –3); axis of symmetry: x = 2 B vertex: (–2, –3); axis of symmetry: x = –2 C vertex: (2, 3); axis of symmetry: x = 2 D

math
A parabola has the equation y = 4(x3)^27 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 yaxis D) The parabola does not cross the xaxis E) The vertex of the parabola

Math
Find the vertex and the axis of symmetry for the parabola y= 2x^2 + 8x + 5. How can I do this without graphing?

Quadratics
The parabola with the general equation y= ax^2 + bx+ 9 where0 < a < 10 and 0 < b < 20 touches the xaxis at one point only. The graph passes through the point (1, 25). Find the values of a and b. Please help.

math
for equation y=2x^2+12x10, determine the vertex, axis of symmetry, and horizontal and vertical shifts

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.

Algebra
Hiya! I have a function here: y = x^2  4x  32 I have some questions about it. 1. I think this parabola opens up. Am I correct? Can you explain how you know weather it opens up or down? 2. Can you tell me what the axis of symmetry and the vertex of this

Analytic Geometry
Find the standard and general equation of a parabola with a vertex at (0,0) and graph passing through (3,5) Axis of Symmetry at xaxis.

Algebra
Find the axis of symmetry y=x^27x+2 Well, it's a parabola. If you rewrite the equation by completing the square, you get y = (x  7/2)^2 + 2  (7/2)^2 = (x  7/2)^2  41/4 It will be symmetric about the x = 7/2 line and the minimum will be at y = 41/4.

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 yintercept, the equation of the axis of symmetry, and the vertex. B. Before locating

Math
Find the vertex focus directrix and axis of symmetry of each parabola y²–8x–6y–3=0

geometry
a parabola whose axis is parallel to the y axis passess through the points {1,1), (2.2) and (1,5). Find the equation of the parabola

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?

Algebra 2
write a quadratic function in vertex form. write the equation for the axis of symmetry of the parabola.

Algebra
A parabola with the vertex of (5,4) and a focus of (8,4). What is the axis of symmetry?

Calc.
Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the xaxis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, and shade the area under

Math
Find the equation of the parabola whose axis of symmetry is horizontal and passes through the points (1, 2), (3, 2) and (7, 6).

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+6x2 so i did my table

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 yintercept is (0,2), the axis of symmetry is 2.5

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 yintercept is (0,2), the axis of symmetry is 2.5

math
1 identify the coordinates of the vertex and the equation of the axis of summetry of the parabola x=2 (y1)^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

Algebra
The formula is y=ax^2+bx+c I also gave the wrong problems, they are... 1. y=x^24x 2. y=x+1 3. y=x+1 4. y=2x^2 well for number one you said it was y = x^2 +1 when you graph it here are three points (1,0), (0,1),(1,0) so you know that the parabola is

ALG.
Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = − 13y^2 + 4 vertex (x, y) = axis of symmetry ____ Sketch the graph

calculus
A parabola ,f, intersect the x axis at A and B and the y axis at C. The axis of symmetry of the parabola has the equation x=3.The line through A and C has the equation g(x)=x+7. Determine the coordinates of A,B and C

ALG
Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola with the given equation. y = 8x^2 + 48x − 3 vertex (x, y) = axis of symmetry ________

GRAPHING HELP
Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = − 1/3^2+4 vertex (x, y) = axis of symmetry Sketch the graph.

ALG. REPOST TYPO
Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. x = −1/3y^2+4 vertex (x, y) = axis of symmetry Sketch the graph.

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

Math2(PleaseHelpAssignmentDueToday)
The graph of a parabola passes through the points (3,8) and 5,8. The equation if the axis of symmetry of the graph of the quadratic function is: X=8 X=4 x=0 X=4

calculus
Find the equation of a parabola with vertex(5,3)and the axis of symmetry is parallel to the yaxis and pass through the point(9,5)

alg.
Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola with the given equation. y = 8x2 + 48x − 3 vertex (x, y) = _____________ axis of symmetry _____________

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.

Algebra
Find the vertex and the axis of symmetry for the parabola with the given equation y=5x230+47....

Alg.
Find the coordinates of the vertex and the equation of the axis of symmetry of the parabola given by the equation. y = − 1/7 x^2 + x − 3 and graph it

algebra
find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y=2x^28x+3. explain the steps please. :)

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.

Algebra
Hi, Any help on this would be very much appreciated. The graph y=3x^2+6x+9 is a parabola, I need to use algebra to find the equation of the axis of symmetry, I then need to use this information to find the coordinates of the vertex. Any ideas? Many thanks

mathplease help,need quickly
find the slant asymptote of the graphof the rational function. 1.f(x)=x^2x2/x7 y=? 2. determine the symmetry of the graph of f. a. the graph has yaxis symmetry f(x)=f(x) b. the graph has orgin symmetry f(x)= f(x) c. the graph has both yaxs and

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

precalulus
y^2+4yx+1=0 what is the vertex of this equation and the axis of symmetry for this parabola?

Math Grade 10
41. Compare the parabola defined by each equation with the standard parabola defined by the equation y = x². Describe the corresponding transformations, and include the position of the vertex and the equation of the axis of symmetry. y = 3x²  8 (4

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

Algebra,Math, graphs help
This is what the directions state to do: (A) Complete the table,(B)describe the resulting graphs by identifying the vertex point, (c) the graph’s direction, (d) and any axis intercepts gleaned from the table or graph. Problem #1 Equation is : y = x + 1

Maths
It is given a quadratic function y=a(xh)62+k.If its graph is a parabola with x=2 as its axis of symmetry,and it passes through the two points(3,7)and(4,11) (a)what isthe value of the constant h? (b)find the values of the constants a and k,and write down

math
A parabola has the equation y = 4(x3)^27 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 yaxis D) The parabola does not cross the xaxis E) The vertex of the parabola

Parabola Help
by plotting the graph of parabola y=2+3x2x^2 which 3 option are true 1) the graph is the same as that of y=6+9x6x^2 2)the parabola has a minimum point 3)the gradient of the parabola at x=2 is 0 4)the graphy=2+3x2x^2crosses the xaxis at the same point

Algebra 2
Find the vertex and axis of symmetry of the parabola when y=3x^2+128

Exploring Quadratic Graphs
ok, I totally did not get this question at all. Complete each statement. Assume the variable a does not equal 0. a. The graph of y=ax^2+c intersects the xaxis in two places when ______. b. The graph of y=ax^2+c does not intersect the xaxis when ______.

MATH
f(x)=2x^24x how do you find the x and y intercepts? Are these answers correct: orientation: parabola opens up Vertex: (1,2) Axis of symmetry: 1

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

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).

MATH
a parabola passes via the points (1.5,1) and (3,5). given that the vertex lies on the line 7x+3y4=0,find the focus and the equation of the parabola

ALGEBRA 1
Please check for me.Without drawing the graph of the given equation determine (a)how many xintercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^25x+6 I use the determinant sqrt b^2 4ac (5)^24(1)(6))=1 There are two

ALGEBRA 1
Please check for me.Without drawing the graph of the given equation determine (a)how many xintercepts the parabola has (b)whether it vertex lies above, below or on the axis. 1. y=x^25x+6 I use the determinant sqrt b^2 4ac (5)^24(1)(6))=1 There are two

Algebra
Where is the axis of symmetry of a parabola located?

Algebra 2
I have a question and I can not figure it out. Any answers to the following along with any explanation would be great! Here is the equation: x=.2y^22y3 Now I know that is an equation for a parabola. Now, I need the following: Equation in standard form

math
aksed find the equation oft he parabola y=ax^2 + bx +c. there are four given clues 1) the yintercept is (0,6) 2) the curve goes throuth (4,5) 3) the curve has aturning point at (2,3) 4) the line of symmetry is x=1 a)is it not possible for all four clues

calc
for the parametric curve defined by x=32t^2 and y=52t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o

Algebra
Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x  4)2  4 I got (4,4) Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x) = (x + 2)2 +

Algebra Problems
Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x  4)2  4 I got (4,4) Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x) = (x + 2)2 +

Algebra
Please check my answers. Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x  4)2  4 I got (4,4) Find the axis of symmetry of the parabola defined by the given quadratic function. 3.f(x) = (x + 2)2 +

MATHS
a parabola passes through the points (1,1) , (2,0) and (3,1) the equation of the parabola is y=ax^2 + bx + c a) write down a system of equations representing this parabola. b) solve the corresponding system and hence write down the equation of the parabola

Algebra
I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x2. Identify the axis of symmetry and the

Algebra
I really need help on some sample work. Just need to check my answers: 1. Describe how the graph of y=x^2+1 differs from y=x^2. Then find the axis of symmetry and the vertex 2. Graph the quadratic equation y=x^2+x2. Identify the axis of symmetry and the

Alegrba
Please check my answers. Also, can I see some graphs of yaxis symmetry, orgin of symmetry, or neither? Determine whether the graph of the polynomial has yaxis symmetry, origin symmetry, or neither. f(x) = 4x^2  x^3 My answer: orgin of symmetry f(x) = 5

algebra
Also, I belive that #4 is D. I drew out a graph and it is symmetrical to point A. After looking over #3, I got B because axis of symmetry is b/2a, so it would be 6/2(1)= 3. I need help on how to do the following problems: 1. The graph of x^2 + y^2 = 100

Harrisburg Area Community College
find the equation of a rational function that passes through (0,1) and (2,1), has the x axis as a horizontal asymptote, and has two vertical asymptotes at x=3 and x=3

math 11
write to explain how the vertext of a parabola is related to its axis of symmetry.

MATH
46. Use factoring to rewrite y = 3x² + 8x + 4, so that you can sketch the parabola. Rewrite the equation in factored form. b. Locate xintercepts C. Determine equation for axis of symmetry D. Determine vertex E. Sketch the graph

Math algebra 2
Identify the vertex the axis of symmetry,the maximum, or minimum value and the range of each parabola Y=x^24x+1