Absolute Value Function Graphs and Transformations

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 has the greater maximum value?

• f(x)

• g(x)

Tags

CCSS.HSF-IF.C.7A

Which of the following is true when

x = -2

• f(x) > g(x)

• f(x) < g(x)

• f(x) = g(x)

• f(x) + g(x) = 0

Tags

CCSS.HSF-IF.C.7B

Match the following. Use the general absolute value equation as a guide:

y = a∣x - h∣ + k

• moves the graph left/right

• "-a"

• ...the graph gets thinner

• the "k"

• flips the graph over

• if "a" is a fraction...

• moves the graph up/down

• if "a" is a whole number...

• ...the graph gets wider

• the "h"

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Which of the following is true when

x = 20

• f(x) > g(x)

• f(x) < g(x)

• f(x) = g(x)

• f(x) + g(x) = 0

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red