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 + ...

Pre Cal - write the equations of the parabola, the directrix, and the axis of ...

Analytic Geometry - Find the equation of the parabola through (-15/4 ,2) and (0...

MATHS ASAP!!!!! - At the x axis, y is zero. So if the x intercept is (1,0) then...

Analytic Geometry - A parabola has a directrix y=-3, axis =4 and latus rectum ...

MATHS - a parabola passes through the points (1,1) , (2,0) and (3,1) the ...

Analytic Geometry - What are the equations of the circles tangent to the x-axis...

Algebra - I'm sure how to work the following problems cant anyone help? 1) Write...

maths - Given that the equation of the parabola is 5y^2 + 24x = 0. Find (1)The ...

Analytic Goemetry - Find the equation of the parabola with axis parallel to the ...