This equation is in vertex form so finding the vertex is easy.
Vertex: (-1,4)
Once you find the vertex, axis of symmetry is easy.
x=-1
Then find y intercept by finding h(0).
h(0)=(0+1)^2-4=-3
Now find x intercepts by solving for x when h(x)=0.
(x+1)^2-4=0
(x+1)^2=4
x+1=±2
x=±2-1
x=1,-3
