Absolute Value Transformations

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

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

Describe the transformation of y = f(x) for the new function
 y = 1/5f(x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

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 
y = |x|
y =  1/2|x| + 3

• Opens Up, Skinnier, Shift down
• Opens Down, Wider, Shift up
• Opens Up, Wider, Shift up
• Opens Down, Skinnier, Shift up

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of the function?

• all real numbers

• 3 ≤ y

• -4 ≤ y

• 3 ≤ y ≤ 7

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the absolute value function?

• f(x)= 4|x+3|
• f(x)= 1/4 |x+3|
• f(x)= 1/4 |x - 3|
• f(x)= 4|x - 3|

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts right
• Stretches wider, shifts right
• Stretches more narrow, shifts left
• Stretches wider, shifts left

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7