Absolute Value Graphs and Functions

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? 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

What is the equation of the absolute value function?

• f(x)= 4|x + 3|

• f(x)= 1/4 |x + 3|

• f(x)= 1/4 |x – 3|

• f(x)= 4|x – 3|

Tags

CCSS.HSF-IF.C.7D

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.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

Which function is graphed?

• f(x) = -3|-x - 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = 5|x - 1| + 4

• f(x) = -3|x - 4| + 1

Tags

CCSS.HSF-IF.C.7D

y = |x - 3| makes the graph slide . . .

• left 3

• right 3

• up 3

• down 3

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, commpress by 2, right 3, up 3

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

f(x) = −|x+4|

• A

• B

• C

• D