Unit 3A Review - Absolute Value Functions

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units
• Shift down 4 units
• Shift left 4 units
• Shift right 4 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the range of the absolute value function?

• $\left(-\infty,\ \infty\right)$

• $\left[3,\ \infty\right)$

• $\left[0,\infty\right)$

• $\left(-\infty,\ 3\right]$ (-infinity, 3]

What is the equation of the graph below?

• $f\left(x\right)=\left|x+2\right|$

• $f\left(x\right)=\left|x+2\right|+2$

• $f\left(x\right)=\left|x-2\right|+2$

• $f\left(x\right)=\left|x-2\right|$

Describe the transformation of the equation below from the parent function of f(x) = IxI to $g\left(x\right)=\left|x+2\right|-5$  

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

What translations have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

• Left 4
  up 9
• Left 4
  Down 9
• Right 4
  up 9
• Right 4
  Down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

What is the vertex of the following function? (Try not to graph) $f\left(x\right)=-4\left|x+2\right|+5$  

• (-4, 2)

• (-2, 5)

• (-4, -2)

• (2, 5)

 What is the vertex of the following function? (Try not to graph)

 $f\left(x\right)=4\left|x-3\right|+1$ 

• (3,1)

• (-3,1)

• (1,-3)

• (0,0)