Answer
$f(x)=(x+1)^2-2$.
Work Step by Step
If the vertex of a graph is at (m,n) then the general formula for the quadratic function is $f(x)=a(x-m)^2+n$. According to the picture the vertex of the graph is at (-1,-2), hence the quadratic function becomes $f(x)=a(x+1)^2-2$. The point (0,-1) is on the graph, hence if we plug in the values we get -1=a-2, hence a=1, hence $f(x)=(x+1)^2-2$.
