# Parabolic Equations Using Vertex & Focus

1. Apr 18, 2009

### TheLastLetter

1. The problem statement, all variables and given/known data

Write the equation of the parabola described.
Vertex: (2, 4) Focus: (2,6)

2. Relevant equations

(x-h)^2 = 4p(y-k)

3. The attempt at a solution

(x-2)^2 = 4(2)(y-4)
x^2-4x+4 = 8y -32

Do I need to isolate one of the variables, or can I leave the equation like this?

2. Apr 18, 2009

### whybother

I'd at least group your constants, to make it look nicer. After you've done that, you could divide through by 8, but it isn't strictly required (unless your teacher said so). Afterall, an equation for a circle is $$x^2 + y^2 = 1$$, and that doesn't have an 'isolated' variable.