Absolute Value Functions Transformations

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

What type of function is shown?

• linear

• quadratic

• square root

• absolute value

What is the vertex of the following function?
y= 4|x|+1

• (0,1)

• (4,1)

• (-4,1)

• (4,-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

Find f(2)

• 3

• -2

• 2

• infinite outputs

Tags

CCSS.HSF.IF.A.2

Name the parent function. 

• constant

• square root

• linear

• absolute value

Is this a function?

• no

• yes

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 range of the function?

• − ∞ < y < ∞

• 3 ≤ y < ∞

• −4 ≤ y < ∞

• 3 ≤ y ≤ 7

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which function defines the graph?

• f(x) = -2|x - 3| + 4

• f(x) = -2|x - 4| + 3

• f(x) = -|2x + 3| + 4

• f(x) = -|2x - 3| + 4

Tags

CCSS.HSF-IF.C.7D