Question

Can someone answer #9

Answer 1

First i'm going to divide the graph into 3 parts. Linear, Quadratic and Horizontal graph.

Linear:

`Slope=(-2-0)/(-4-(-2))=1\\y=m(x-xo)+yo\\y=1x-(-2)+(-4)\\y=x-2 , x\leq-1`

Quadratic:

`f(x) = a(x-h)^(2) + k\\f(x)=(x-2)^(2)-7,-1\leq x\geq 6`

Horizontal:

`f(x)=7,x\geq 6`

Answer:

`f(x)=x-2 , x\leq-1\\f(x)=(x-2)^(2)-7,-1\leq x\geq 6\\f(x)=7,x\geq 6`

Hope this was helpful.