Absolute Value Functions

What is the vertex of the following absolute value function?

f(x) = |2x - 6| + 4

Type only numbers in the space below

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

• (4, 0)

• (0, 4)

Tags

CCSS.HSF-IF.C.7D

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units
• Stretches more narrow, shifts down 4 units
• Compresses wider, shifts up 4 units
• Compresses wider, shifts down 4 units

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

What is the equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x | 
• f(x) = -3|x| - 7
• f(x) = -|-x + 1| + 4
• f(x) = 5|x - 4| - 1

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function y = |x + 3| - 2?

• (-2, -3)

• (-3, -2)

• (0, 0)

• (3, 2)

Tags

CCSS.HSF-IF.C.7D

Which transformation results in shifting the graph of y = |x| to the right by 4 units?

• y = |x - 4|

• y = |x + 4|

• y = |x - 4| + 4

• y = |x| - 4