Answer
Focus = $(-2, 7)$;
Directrix $y=-3$;
Axis of symmetry $x=-2$
Work Step by Step
The given equation can be re-written as:
$(x-(-2))^2 = 4p(y-2)$
Here, $4p=20 \implies p= 5$ and vertex $(h,k)=(-2, 2)$
Since the parabola is vertical as $x$ is squared, the axis of symmetry is $x=-2$ with focus $(h,k+p)=(-2, 2+5)=(-2,7)$.
Now, the directrix is $y=k-p=2-5=-3$.
Our results are:
Focus = $(-2, 7)$;
Directrix $y=-3$;
Axis of symmetry $x=-2$.
