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

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  1. 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​

  2. 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

  3. 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

  4. algebra

    Find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y= -2x-8x+3

  5. 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

  6. 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

  7. 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

  8. Algebra-Polynomails

    Please explain to me orgin of symmetry, y-axis semmetry, or if its neither. 1. Determine whether the graph of the polynomial has y-axis 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

  9. 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

  10. 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

  11. 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?

  12. 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

  13. 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)

  14. math

    A parabola f intersect the x- axis at B and C and the y-axis at E.The axis of symmetry of the parabola has equation x=3.The line through E and C has equation g(x)=x/2-7/2. Calculate the x coordinate of B

  15. 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

  16. Pre-Calculus

    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

  17. Algebra

    Find the axis of symmetry for y=x^2+4x-7 Find the axis of symmetry for y=3x^2-18x+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^2-3 Determine etc etc for y=-x^2-2x Determine etc etc for

  18. Analytic Goemetry

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

  19. 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???

  20. Parabola Ques

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

  21. 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=?

  22. math

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

  23. 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. y-intercept Is it A. vertex?

  24. Math

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

  25. maths

    A parabola f intersect the x-axis at B and C and the y-axis 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÷2-7÷2 1.1 Show that the coordinates of C are (7;0).

  26. Mathematics

    A parabola F intercepts the x-axis at B and C and y-axis 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)

  27. 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

  28. CollegeCalc

    a parabola has a focus of (-3,4) and a directrix with equation: 3x-4y-25. Since the distance from the focus to a point (x,y) on the parabola is : squareroot (x+3)^2 +(7-4)^2 and is equal to the distance from the point (x.y) to the line which is 16x^2 +

  29. 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​

  30. 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.

  31. 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-

  32. 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

  33. Math

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

  34. Quadratics

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

  35. math

    for equation y=2x^2+12x-10, determine the vertex, axis of symmetry, and horizontal and vertical shifts

  36. 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.

  37. 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

  38. 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 x-axis.

  39. Algebra

    Find the axis of symmetry y=x^2-7x+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.

  40. 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

  41. Math

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

  42. 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

  43. 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?

  44. Algebra 2

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

  45. Algebra

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

  46. 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 x-axis. 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

  47. 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).

  48. 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

  49. 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

  50. 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

  51. 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

  52. Algebra

    The formula is y=ax^2+bx+c I also gave the wrong problems, they are... 1. y=x^2-4x 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

  53. ALG.

    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

  54. 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

  55. 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 ________

  56. 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.

  57. 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.

  58. 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

  59. 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

  60. calculus

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

  61. 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 _____________

  62. 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.

  63. Algebra

    Find the vertex and the axis of symmetry for the parabola with the given equation y=5x2-30+47....

  64. 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

  65. algebra

    find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y=-2x^2-8x+3. explain the steps please. :)

  66. 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.

  67. 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

  68. math-please help,need quickly

    find the slant asymptote of the graphof the rational function. 1.f(x)=x^2-x-2/x-7 y=? 2. determine the symmetry of the graph of f. a. the graph has y-axis symmetry f(-x)=f(x) b. the graph has orgin symmetry f(-x)= -f(x) c. the graph has both y-axs and

  69. 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

  70. precalulus

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

  71. 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

  72. 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

  73. 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

  74. Maths

    It is given a quadratic function y=a(x-h)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

  75. 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

  76. 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

  77. Algebra 2

    Find the vertex and axis of symmetry of the parabola when y=-3x^2+12-8

  78. 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 x-axis in two places when ______. b. The graph of y=ax^2+c does not intersect the x-axis when ______.

  79. MATH

    f(x)=2x^2-4x how do you find the x and y intercepts? Are these answers correct: orientation: parabola opens up Vertex: (1,-2) Axis of symmetry: 1

  80. 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

  81. 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).

  82. 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

  83. 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

  84. 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

  85. Algebra

    Where is the axis of symmetry of a parabola located?

  86. 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^2-2y-3 Now I know that is an equation for a parabola. Now, I need the following: Equation in standard form

  87. math

    aksed find the equation oft he parabola y=ax^2 + bx +c. there are four given clues 1) the y-intercept 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

  88. calc

    for the parametric curve defined by x=3-2t^2 and y=5-2t ...sketch the curve using the parametric equation to plot of the point. use an arrow to indicate the direction of the curve for o

  89. 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 +

  90. 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 +

  91. 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 +

  92. 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

  93. 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+x-2. Identify the axis of symmetry and the

  94. 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+x-2. Identify the axis of symmetry and the

  95. Alegrba

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

  96. 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

  97. 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

  98. math 11

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

  99. 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 x-intercepts C. Determine equation for axis of symmetry D. Determine vertex E. Sketch the graph

  100. Math algebra 2

    Identify the vertex the axis of symmetry,the maximum, or minimum value and the range of each parabola Y=x^2-4x+1

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