# Parabolic Equations Using Vertex & Focus

## Homework Statement

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

## Homework Equations

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

## 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?

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.