Question

Plot on graph.

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

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

Answer 1

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