Answer
$y=a(x+2)^2-3$
Work Step by Step
A quadratic function ican be written in the vertex form as $y=a(x-h)^2+k$ and has a vertex at $(h,k)$.
Since the vertex of the given function is $(-2,-3)$, we identify $h$ and $k$:
$$(h,k)=(-2,-3)\Rightarrow h=-2,k=-3$$
Substitute them into the vertex form of the equation:
$$y=a(x-(-2))^2+(-3)$$ Simplify: $$y=a(x+2)^2-3$$
