posted by .

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.

that was all my question said.

Since your question was to "write" the equation, I would assume we don't have to do a rigorous solution.

From your data it is easy to see that the axis of symmetry is the line y=3, so it is parallel to the x-axis
If the vertex had been (0,0) and the focal point is (k,0) then the equation is y^2 = (4k)x

So if we "move" our parabola down 3 units, our vertex would be (0,0) and the focus would be (1,0)
so 4k=1 and k=1/4

then with vertex (0,0) our equation would be y^2 = (1/4)x

now lets translate this my "moving" it up 3 units

(y-3)^2 = (1/4)x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATHS ASAP!!!!!

    At the x axis, y is zero. So if the x intercept is (1,0) then (y-a)^2=x + b (0-a)^2=1 + b Now the vertex. (y-a)^2=x +b (2-a)^2= 0 + b or these two equations are.. a^2= 1+b or b= a^2 - 1 putting this into the second equation. 4-4a + …
  2. 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 …
  3. 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).
  4. 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. Math does anyone know this?

    I have to state whether these equations are parallel or perpendicular y=4x+6 y-4x=-1
  6. Analytic Geometry

    Find the equation of the parabola through (-15/4 ,2) and (0,-1) whose axis is parallel to the x-axis and the latus rectum equal to 4
  7. Analytic Geometry

    A parabola has a directrix y=-3, axis =4 and latus rectum equal to 2. find its equation. Please help me its for my homework
  8. 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
  9. 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.
  10. 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 …

More Similar Questions