Unit 1 Review

Find the inverse of

 $f\left(x\right)=\frac{1}{4}x-7$  

•  $f^{-1}(x)=4x+7$  

•  $f^{-1}(x)=-4x-7$  

•  $f^{-1}(x)=-4x+28$  

•  $f^{-1}(x)=4x+28$  

What is the inverse of the point (-3,7)?

• (3,-7)

• (-7,3)

• (7,-3)

• $\left(-\frac{1}{3},\frac{1}{7}\right)$

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Right 2, up 5

• Left 2, down 5

• Left 2, up 5

• Right 2 down 5

Which equation represents the graph?

• $y=\left|x+3\right|+1$

• $y=-\left|x+3\right|+1$

• $y=-\left|x+1\right|+3$

• $y=-\left|x-1\right|+3$

Solve the equation for k.

 $2\left|3k-1\right|=-10$  

• 2 and 4/3

• -2 and -4/3

• 2 and -4/3

• No solution

• All real numbers

Solve the equation for x:

 $-2\left|x-4\right|+6=-8$  

• -3 and 11

• 3 and -11

• 5 and 3

• No solution

• All real numbers

Solve for x:

|x+1|=3x+7

• x=-2 and -3

• x=-2

• x=-2 and -1

• x=-1

Solve

 $4|x-1|<24$  

• -7<x<7

• x<-5 or x>7

• -5<x<7

• -5<x<5

Solve

 $|x-4|-3<5$  

• -12<x<12
  

• -4<x<12
  

• No Solution

• x<-4 or x >12

Identify the vertex of the graph.

• (-1,0)

• (-5,0)

• (-3,-4)

• (-4,-3)