Unit 2 Review

What transformation occurs from the parent function graphed to the function

 $f\left(x\right)=3\left|x\right|$  

• Vertical stretch by 3

• vertical compression by 3

• right 3 units

• up 3 units

Solve for x.

 $3\left|x\right|=9$  

• x = 9, -9

• x = 3, 1/3

• x = -3, 3

• none of these

Name the 2 transformations from the parent function graphed to the function

 $f\left(x\right)=-5\left|x\right|$  

• vertical reflection

• vertical stretch

• vertical compression

• moved down

Select all transformations from the parent function graphed to

 $f\left(x\right)=5\left|x-4\right|$  

• left 4

• vertical stretch by 5

• vertical compression by 1/5

• right 4

Solve for x.

 $\left|5x-4\right|=16$  

• x = 4, -4

• x = -(12/5), -4

• x = 4, -(12/5)

• none of the above

State the domain for the graph.

• x = 2

• y = -1

• $\left(-\infty,\ \infty\right)$

• $\left[-1,\ \infty\right)$

State the range of the graph.

• $\left(-\infty,\ 0\right]$

• y = 0

• $\left(-\infty,\ \infty\right)$

• $\left[0,\ \infty\right)$

What is the equation of the graph?

• $y=\left|x\right|$

• $y=\left|x-1\right|$

• $y=\left|x\right|+1$

• none of the above

What is the equation of this graph?

• $y=\left|x+3\right|-4$

• $y=\left|x-3\right|-4$

• $y=\left|x-3\right|+4$

• $y=\left|x+3\right|+4$

What does "h" stand for in

 $f\left(x\right)=a\left|x-h\right|+k$  ?

• shift up or down

• shift left or right

• vertical stretch or shrink

• horizontal stretch or shrink