2018-19 U2 Absolute Value Transformations

What is absolute value?

• The value of a number
• The opposite of a number
• The distance of a number is from zero
• The multiplicative inverse of a number

Tags

CCSS.6.NS.C.7C

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

• Shift up
• Shift down

Does the following get wider or narrower from the parent function y = |x|?

y = 5|x|

• Wider

• Narrower

Write the equation for a graph that shifts down 9.

• y= |x| - 9

• y= |x - 9|

• y= -9|x|

• y= |x| + 9

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 3 I

• Left 3
• Right 3
• Up 3
• Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Write an absolute value function given the following transformations:

Reflection across the x-axis

Horizontal shift right 2 units

Vertical shift down 7 units

• y = -|x + 2| - 7

• y = |x - 2| - 7

• y = -|x - 2| - 7

• y = -|x - 2| + 7

Write an absolute value function given the following transformations:

Horizontal Compression factor 3

Horizontal shift left 9 unit

Vertical shift up 2 units

• y = |3(x + 9)| + 2

• y = |3(x - 9)| + 2

• y = |3x - 9| + 2

• y = |3x + 9| + 2

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9
• f(x) = |2x - 1| - 9
• f(x) = 2|x + 1| - 9 
• f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.BF.B.3

Which of the following describes the horizontal and vertical translations of the following functions:

f(x) = |x + 4| + 9

• Left 4

  up 9

• Left 4

  Down 9

• Right 4

  up 9

• Right 4

  Down 9

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2