Analytic Geometry

posted by .

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.

  • Analytic Geometry -

    Since you know the vertex, your equation must be
    x = a(y-0)^2 + 0 , if the axis of symmetry is horizontal
    x = ay^2
    but (3,5) lies on it, so
    3 = a(25)
    a = 3/25

    x = (3/25)y^2
    or
    25x = 3y^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. 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 …
  3. 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. http://en.wikipedia.org/wiki/Parabola …
  4. 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).
  5. Analytic Goemetry

    Find the equation of the parabola with axis parallel to the x-axis and passing through (3/2,1),(5,0) and (-1,2).
  6. 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.
  7. 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
  8. 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.
  9. 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) …
  10. 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 …

More Similar Questions