Can someone answer #9

Question

asked May 21, 2020 210k views

1 Answer

Dorje · Answer 1 · 2020-05-27T05:43:46+0000

Solution:

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.