Absolute Value Graphs Equations

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How does the graph of y=3\left|x\right| differ from the graph of y=\left|x\right|?

• The graph of y = 3|x| is shifted up 3 units from y = |x|

• The graph of y = 3|x| is shifted to the right 3 units from y = |x|

• The graph of y = 3|x| is wider by a factor of 3 than y = |x|(compressed)

• The graph of y = 3|x| is narrower by a factor of 3 than y = |x|(stretched)

What is the maximum of the graph

y = -3|x - 2|

• (-2, 0)

• (0, 2)

• (2, 0)

• (0, 0)

Tags

CCSS.HSF-IF.C.7D

What are the zero(s) of the following graph?

f(x) = |x - 4|

• Both x = 4 and x = -4

• Only x = 4

• Only x = 0

• Both x = 0 and x = 4

Tags

CCSS.HSF-IF.C.7D

Which of the following is a solution to the absolute value equation?

• x = 1

• x = 0

• x = 5/3  (or approximately 1.667)

• x = 11/3 (or approximately 3.667)

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

Which function is graphed?

• 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.C.7D

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

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

• Narrow

• Wide

• Same

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

• Narrow

• Wide

• Same