Posted by **Marissa** on Sunday, August 12, 2007 at 8:35am.

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
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

so

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

## Answer This Question

## Related Questions

- pre cal - What is the center of the conic whose equation is x^2 + 2y^2 - 6x + 8y...
- precalculs - Explain what each of the following represents, and how equations (a...
- Analytic Geometry - Find the equation of the parabola through (-15/4 ,2) and (0...
- Pre Cal - write the equations of the parabola, the directrix, and the axis of ...
- Analytic Goemetry - Find the equation of the parabola with axis parallel to the ...
- Analytic Geometry - Find the standard and general equation of a parabola with a ...
- MATHS ASAP!!!!! - At the x axis, y is zero. So if the x intercept is (1,0) then...
- geometry - a parabola whose axis is parallel to the y axis passess through the ...
- Math does anyone know this? - I have to state whether these equations are ...
- MATHS - a parabola passes through the points (1,1) , (2,0) and (3,1) the ...

More Related Questions