Absolute Value Transformations

Choose the correct translated function.

• y = |x|+2

• y = |x|-2

• y = -|x|

• y = -|x|+2

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

Write the equation for a graph that is wider by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

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

• narrower and shifted down

• wider and shifted down

• reflected over x-axis and wider

• reflected over x-axis and narrower

What is the transformation for the function: y=|x|+10 ?

• Shifted left 10
• Shifted right 10
• Shifted up 10
• Shifted down 10

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of the graph below?

• y = I x + 4 I + 2

• y = - I x - 4 I + 2

• y = I x - 4 I + 2

• y = - I x + 4 I + 2

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, narrow by a factor of 2, right 3, up 3

• reflected over x axis, narrow by a factor of 2, left 3 up 3.

• reflected over x axis, wider by a factor of 2, right 3, up 3

• reflected over the x axis, narrow by a factor of 2, left 3, up 3

What is the vertex of the absolute value function?

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

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations:

Narrow by a factor of 2

Left 1 unit

Down 9 units

• y = |2x + 1| - 9

• y = |2x - 1| - 9

• y = 2|x + 1| - 9

• y = 2|x - 1| - 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.HSF.IF.C.7

CCSS.HSG.CO.A.2