Algebra2/Trig

posted by .

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.

  • Algebra2/Trig -

    Horizontal axis means of form:
    (y-k)^2 = 4p(x-h)
    if the vertex is at the origin (h,k) = (0,0)
    y^2 = 4 p x
    36 = 4 p (4)
    p = (9/4)
    so
    y^2 = 9 x

  • Algebra2/Trig -

    Oh, I see. Solve for P first then substitute it in. I guess I forgot that concept. Thanks!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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 …
  2. Math

    Find an equation of the parabola with vertex at the origin that passes through the point (-36, 2) and opens to the left. I believe you start with (x-h)^2 = 4p(y-k) and plug in the given point and (0,0), and solve for p. I got y^2 = …
  3. 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.
  4. 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 …
  5. 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).
  6. 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 …
  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 …
  8. Calculus

    For the parabola y^2=4px, where p, the focal length, is a constant, the focal point, f(p,0), is on the x-axis. Point S is 10 units from the point F and the segment SF makes a 60degree angle with the x-axis. The slope of segment TF …
  9. 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!!!
  10. 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.

More Similar Questions