Friday

December 19, 2014

December 19, 2014

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

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 ...

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

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

algebra - A few more question Id like for someone to check please. 1) what are ...

algebra - 6. Find the equation of each parabola described below. a) parabola ...

Differential Equations, Matrices - Using the matrix [cosx -sinx] [sinx cosx] ...

algebra - 1)What is the 4x^2=y^2+8y+32 answer= either hyperbola or parabola 2)...

Math - How do I write the Symmetric Equation of a line given the following ...

Math - How do I write the Symmetric Equation of a line given the following ...