Absolute Value & Step Functions

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=4|x+3|-2

• Narrow
• Wide
• Same

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Use Narrow, wide, or same to compare the width of this graph to the parent function.
y=-|x|+9

• Narrow
• Wide
• Same

Tags

CCSS.HSF.BF.B.3

What is the equation of this graph?

• y=2|x-3|+1
• y=2|x-1|+3
• y=-2|x-1|+3
• y=-2|x-1|+3

Tags

CCSS.HSF-IF.C.7D

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

• (-3,-3)
• (3,-3)
• (3/2,3)
• (-3,3/2)

Tags

CCSS.HSF-IF.C.7D

f(x)= |x−3|−1

• A
• B
• C
• D

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed? You can click the picture to zoom in!

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of the absolute value parent function?

• (∞,-∞)

• (-∞,∞)

• [0,∞)

• (-∞,0]

Tags

CCSS.HSF-IF.C.7D

What is the domain of the absolute value parent function?

• (∞,-∞)

• (-∞,∞)

• [0,∞)

• (-∞,0]

Tags

CCSS.HSF-IF.C.7D

Sketch the graph of the function.

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B