Question

Write an equation for a graph that is the set of all points in the plane that are equidistant from the point F(2,0) and the line x=-2

Answer 1

\[
(x+2)^2=(x-2)^2 + (y-0)^2\\
\]

Answer 2

\[
x^2 + 4 x + 4 = x^2 - 4 x + 4 + y^2\\
8x = y^2
\]