2A.2A Absolute Value Graphs and Transformations

What is the domain and range of the graph?

• Domain:

  $\left[-\infty,+\infty\right]$ Range: $\left[-3,+\infty\right]$

• Domain: $\left(-\infty,+\infty\right)$ Range: $\left[-3,+\infty\right)$

• Domain: $\left[-3,+\infty\right)$ Range: all real numbers

• Domain: $\left(-\infty,3\right]$ Range: $\left(-\infty,+\infty\right)$

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the vertex of the graph?

•  $\$ 

• (2, -3) 

• (2,3)

• (-2, -3) 

• (-2, 3) 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the x intercepts? (Write as coordinates!)

• (-5, 0) & (1, 0)

• (0, -5) & (0, 1)

• (0, -1) & (0, 1)

• (-2, -3) & (0, -1)

What is the y intercept?

• (-2, -3)

• (0, -1)

• (-1, 0)

• (-5, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Given the parent function

 $y=\left|x\right|$  what would be the equation of a function with a horizontal shift left 4 units and a vertical stretch by a factor of 5? 

•  $y=\frac{1}{5}\left|x+4\right|$  

•  $y=5\left|x+4\right|$  

•  $y=5\left|x-4\right|$  

•  $y=\frac{1}{5}\left|x-4\right|$  

Given the parent function

 $y=\left|x\right|$  what would be the equation of the function that had a vertical shift down 1, a horizontal shift right 3, and is reflected across the x axis. 

•  $y=\left|x-3\right|-1$  

•  $y=-\left|x+3\right|-1$  

•  $y=-\left|x-3\right|-1$  

•  $y=\left|x+3\right|-1$  

Given the absolute value equation

 $y=\left|x-1\right|+4$  , what would be the new equation if it were vertically compressed by a factor of 1/3 and has a vertical shift down 2

•  $y=3\left|x-1\right|-2$  

•  $y=3\left|x-1\right|+2$  

•  $y=\frac{1}{3}\left|x-1\right|-2$  

•  $y=\frac{1}{3}\left|x-1\right|+2$  

Describe the transformation that is applied to the parent function. 
f(x) = IxI -5

• Shifts left 5
• Shifts right 5
• Shifts up 5
• Shifts down 5

Tags

CCSS.HSF.BF.B.3

Choose the correct translated function.

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up
• Shift down

Tags

CCSS.HSF.BF.B.3