Question

What is the equation of the quadratic graph with a focus of (3, 4) and a directrix of y = 8?

Answer 1

The formula of a parabola with the vertex \((h,k)\) given by: \[
y=a(x-h)^2+k
\]

Answer 2

Where \[
a = \frac{1}{4p}
\]And \(p\) is the distance between the vertex and the focus.

Answer 3

So we need to find the vertex and we need to find \(p\).

Answer 4

Do you follow so far?

Answer 5

Ultimately, we need to find the vertex.