Absolute Value Graph Translations

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

What is the vertex of the following function? y= -2|x+10|+3

• (10,3)

• (-10,3)

• (-10,-3)

• (10,-3)

Tags

CCSS.HSF-IF.C.7D

What is the line of symmetry of the following function?

y= -4|x+2|+5

• x=-4

• x=2

• x=-2

• x=5

Tags

CCSS.HSF-IF.C.7D

What is the line of symmetry of the following function?

y= -2|x+10|+3

• x=-2

• x=10

• x=3

• x=-10

Tags

CCSS.HSF-IF.C.7D

Apply a vertical translation of +3 to the absolute value function y = |x|.

• y = |x - 3|

• y = |x| + 3

• y = |x| - 3

• y = |x + 3|

Apply a vertical translation of -2 to the absolute value function y = |x|.

• y = |x| * 2

• y = |x| / 2

• y = |x| - 2

• y = |x| + 2

Apply a horizontal translation of -3 to the absolute value function y = |x|.

• y = |x+3|

• y = |x-3|

• y = |x| - 3

• y = |x| + 3

Graph the absolute value function y = |x+2|.

• V-shaped graph shifted 2 units to the left

• V-shaped graph shifted 2 units to the right

• U-shaped graph shifted 2 units to the left

• U-shaped graph shifted 2 units to the right

Tags

CCSS.HSF-IF.C.7D

Apply a vertical translation of +5 to the absolute value function y = |x|.

• y = |x| + 5

• y = |x - 5|

• y = |x| - 5

• y = |x + 5|

Identify the parent function of absolute value.

• y = x^2

• y = |x|

• y = x^4

• y = x^3