Alg 2: Absolute Value Transformations Warm-up

What is the vertex of the graph?

(the vertex is the place where the graph changes direction)

• (2, -3) 

• (2,3)

• (-2, -3) 

• (-2, 3) 

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

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

• (-5, 0) & (1, 0)

• (0, -5) & (0, 1)

• (0, -1) & (0, 1)

• (-2, -3) & (0, -1)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the y intercept?

(as a coordinate point)

• (-2, -3)

• (0, -1)

• (-1, 0)

• (-5, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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? 

•  $y=\frac{1}{5}\left|x+4\right|$  

•  $y=5\left|x+4\right|$  

•  $y=5\left|x-4\right|$  

•  $y=\frac{1}{5}\left|x-4\right|$  

Tags

CCSS.HSF.BF.B.3

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

CCSS.HSG.CO.A.2

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

What is the transformation for the function: y = -3|x| ?

• stretched and shifted down
• compressed and shifted down
• opens down and compressed
• opens down and stretched

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

What is the equation of the absolute value function?

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.IF.C.7

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5