3.7 Graphing Absolute Value Functions

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|

Tags

CCSS.HSF-IF.C.7D

Which function is graphed?

• f(x) = 2|x - 5|
• f(x) = |x - 5|
• f(x) = |x - 5| + 5
• f(x) = |x| + 5

Tags

CCSS.HSF-IF.C.7D

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

What is the vertex of the absolute value function?

• (4, 0)

• (0, 4)

• All real numbers

• $y\ge4$
  

What is the equation of the absolute value function?

• f(x)= |x+4|
• f(x)= |x-4|
• f(x)= |x| + 4
• f(x)= |x| - 4

Tags

CCSS.HSF-IF.C.7D

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= -4|x+2|+5

• (-4,2)
• (-2,5)
• (-4,-2)
• (2,5)

Tags

CCSS.HSF-IF.C.7D

What absolute value function would go through these points?

• $f\left(x\right)=-\left|x-1\right|-2$

• $f\left(x\right)=\left|x+1\right|+2$

• $f\left(x\right)=-\left|x-1\right|+2$

• $f\left(x\right)=\left|x-1\right|+2$

Tags

CCSS.HSF-IF.C.7D

Which graph matches the function:

y = -2|x - 3| + 5

• A

• B

• C

• D

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9
• f(x) = |2x - 1| - 9
• f(x) = 2|x + 1| - 9 
• f(x) = 2|x - 1| - 9

Tags

CCSS.HSF.BF.B.3