Graphing Absolute Value of Functions

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)

• (-2,5)

• (-4,-2)

• (2,5)

Tags

CCSS.HSF-IF.C.7D

What absolute value function would go through these points?

Tags

CCSS.HSF-IF.C.7D

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

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

• y = -|x + 2| - 7 

• y = |x - 2| - 7 

• y = -|x - 2| - 7

• y = -|x - 2| + 7

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, stretched by 2, right 3, up 3

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

• reflected over x axis, shrunk by 2, right 3, up 3

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

What is the range?

• y ≥ 5

• y ≥ -3

• y ≤ -3

• y ≤ 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the vertex of the absolute value function?

• (4, 0)

• (0, 4)

• (-infinity, infinity)

• [4, infinity)

Tags

CCSS.HSF-IF.C.7D

What is the equation of the absolute value function?

• f(x)= |x+4|

• f(x)= |x-4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

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

What is the equation of the absolute value function?

• f(x)= |x + 4|

• f(x)= |x - 4|

• f(x)= |x| + 4

• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D