Graphing Absolute Value

What is the vertex of the function?

 $f\left(x\right)=-5\left|x+2\right|-4$  

•  $\left(-4,2\right)$  
  

•  $\left(-2,-4\right)$  
  

•  $\left(2,-4\right)$  
  

•  $\left(-5,-4\right)$  
  

Select the graph of the function:

y=|x+1|−4

• 
• 
• 
• 

Describe the transformation from the Absolute Value Parent Function. Select all that apply.

• translate 4 right

• translate 4 down

• Vertical compression by factor 1/5

• Vertical stretch by factor of 5

• Horizontal stretch by factor of 5

Answer explanation

1/5 is OUTSIDE the absolute value, so it is a vertical compression.

subtract 4 is OUTSIDE the absolute value, so it is vertical translation.

Vertical transformations are how they appear in the function.

Answer: Vertical compression by a factor of 1/5, Translate down 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|

Write an equation for the absolute value function.

Do not put spaces in your answer. Type shift \ to type a | symbol.

Rate your understanding of graphing absolute value functions.

• 
• 
• 
• 
•