Plot on graph.

h (x) = (x+1) ^2-4

Plot the x-intercept (s), y-intercept, vertex, and axis of symmetry of the function.

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