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

The blue is f(x)=|x|, 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

CCSS.HSF.IF.C.7

What is the equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

What is the parent function for absolute values?

• y = x
• y = |x|
• y = x²
• y = 2^x

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 2 I + 4

• Left 2 up 4
• Right 2 up 4
• Left 2 down 4
• Right 2 down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSG.CO.A.2

Write the equation for a graph that shifts down 9.

• y=|x|-9
• y=|x-9|
• y=-9|x|
• y=|x|+9

What is the equation of the graph?

• y = |x - 1| + 3

• y = |x + 1| + 3

• y =2 |x - 1| + 3

• y = 2|x + 1| + 3

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflected over x axis, narrower, right 3, up 3

• reflected over x axis, narrower, left 3 up 3.

• reflected over x axis, wider, right 3, up 3

• reflected over the x axis, wider, left 3, up 3

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

y = |x| - 8

• Shift up

• Shift down

Describe the following absolute value parent function:

y = 1/2|x + 5|

• Opens up, Shift right, Narrower

• Opens up, Shift left, Wider

• Opens down, Wider, Shift left

• Opens down, Narrower, Shift right