Graphing Absolute Value

Describe the transformation that is applied to the parent function. 
 $f\left(x\right)=\left|x\right|-5$  

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

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

How does the following move from the parent function?
 $f\left(x\right)=\left|x\right|$   $f\left(x\right)=\frac{1}{2}\left|x\right|+3$  

• Opens Up, Narrower, Shift down

• Opens Down, Wider, Shift up

• Opens Up, Wider, Shift up

• Opens Down, Narrower, Shift up

What is the parent function for absolute values?

• y = x
• y = |x|
• y = x²
• y = 2^x

Tags

CCSS.HSA.REI.D.11

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.HSF-IF.C.7D

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2