2-7 Absolute Value Functions and Graphs

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

Which transformation describes the change from black to blue?

• -½ f(x - 2) + 5

• -f(x - 2) + 5

• -f(x + 5) + 2

• -f(x - 5) + 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which transformation describes the change from black to blue?

• f(x - 2) + 4

• f(x - 4) + 2

• f(x - 5) + 6

• f(x + 5) - 6

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph below?

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

Tags

CCSS.HSF-IF.C.7D

What is the vertex of the absolute value function?

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

Tags

CCSS.HSF-IF.C.7D

Determine the transformation 

• left 3, up 2
• right 3, up 2
• left 3, down 2
• right 3, down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7
• y = (x - 4)² + 7
• y = (x + 7)² - 4
• y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2