Absolute Value Transformations (part 2)

Choose the correct translated function.

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

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

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

y = -2 I x - 3 I + 3

• reflected across x-axis, stretched by 2, right 3, up 3

• reflected across x-axis, stretched by 2, left 3 up 3.

• reflected across x-axis, shrunk by 2, right 3, up 3

• reflected across the x-axis, shrunk by 2, left 3, up 3

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.C.7D

What is the domain of the absolute value function?

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Write the equation for a graph that is vertically compressed by a factor of 2/5 and shifted right 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

Describe the transformations from the parent graph to f(x) = -3∣x + 5∣ - 7

• Down 7, Left 5, Vertical Stretch by 3, Reflection across x-axis

• Up 7, Right 5, Vertical Stretch by 3,Reflection across x-axis

• Down 7, Left 5, Vertical Compression by 3, Reflection across x-axis

• Up 7, Right 5, Vertical Compression by 3, Reflection across x-axis

Write an absolute value function given the following transformations:

Reflection across the x-axis

Vertical shift 2 units right

Horizontal shift 7 units down

• 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:

Vertical Stretch by a factor of 2

Horizontal shift left 1 unit left

Vertical shift 9 units down

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9

• f(x) = 2|x - 1| - 9