Transformations of Absolute Value Functions Quiz

Describe the vertical shift of the absolute value function in the equation f(x) = |x| + 5.

• 5 units upward

• No vertical shift

• 5 units downward

• 10 units upward

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Explain the horizontal shift of the absolute value function in the equation f(x) = |x - 3|.

• The horizontal shift is 3 units down

• The horizontal shift of the absolute value function in the equation f(x) = |x - 3| is 3 units to the right.

• The horizontal shift is 3 units to the left

• The horizontal shift is 3 units up

Tags

CCSS.HSF.BF.B.3

Find the equation of the transformed absolute value function when the parent function f(x) = |x| is shifted 2 units up.

• f(x) = |x + 2|

• f(x) = |x - 2|

• f(x) = |x - 2| + 2

• f(x) = |x| + 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Find the equation of the transformed absolute value function when the parent function f(x) = |x| is shifted 4 units to the right.

• f(x) = |x-4|

• f(x) = |x| - 4

• f(x) = |x+4|

• f(x) = |x-4| + 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the vertical shift of the absolute value function in the equation f(x) = |x| - 3.

• 3 units downward

• No vertical shift

• 3 units to the left

• 3 units upward

Tags

CCSS.HSF.BF.B.3

Explain the horizontal shift of the absolute value function in the equation f(x) = |x + 2|.

• The horizontal shift of the absolute value function in the equation f(x) = |x + 2| is 2 units to the left.

• The horizontal shift is 2 units to the right

• The horizontal shift is 2 units down

• The horizontal shift is 2 units up

Tags

CCSS.HSF.BF.B.3

Find the equation of the transformed absolute value function when the parent function f(x) = |x| is shifted 1 unit down.

• f(x) = |x| + 1

• f(x) = |x - 1|

• f(x) = |x + 1|

• f(x) = |x| - 1

Tags

CCSS.HSF.BF.B.3

Find the equation of the transformed absolute value function when the parent function f(x) = |x| is shifted 5 units to the left.

• f(x) = |x+5| + 5

• f(x) = |x| - 5

• f(x) = |x+5|

• f(x) = |x-5|

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Describe the vertical shift of the absolute value function in the equation f(x) = |x| + 2.

• 2 units downward

• 3 units upward

• No vertical shift

• 2 units upward

Tags

CCSS.HSF.BF.B.3

Explain the horizontal shift of the absolute value function in the equation f(x) = |x - 4|.

• 4 units to the right

• 2 units to the right

• 6 units to the left

• 4 units to the left

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7