Practice!

Sample Problem

Find the standard form of the equation of a parabola with a vertex at (2, 2) and a focus (2, -1).

Solution

Because the axis of the parabola is vertical, passing through (2, 2) and (2, -1), we’ll use the equation

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

where h=2, k=2, and p=-1-2=-3. So, the standard form is

(x-2)2=-12(y-2)