Graphing Absolute Value 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.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

Range of the graph?

• y<3

• y>3

Answer explanation

Since the graph is facing down, all the y values are smaller (less than) the vertex y value k=3

f(x) = −|x+4|

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7D

List the x intercept(s)

• 1

• 2

• (0,2)

• (2,0)

Answer explanation

When writing an ordered pair, it's (x,y). Since it's on the x axis, y=0.

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

Tags

CCSS.HSF.IF.C.7

y = |x| - 7 makes the graph slide . . .

• left 7
• right 7
• up 7
• down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Write an absolute value function given the following transformations from the parent function:

Reflection across the x-axis

Vertical shift right 2 units

Horizontal shift down 7 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2