Absolute Value Quiz

State the vertex:

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

• (5,0)

• (-5,0)

• (0,5)

• (0,-5)

Describe the transformation from the parent function.

 $f\left(x\right)=\frac{1}{5}\left|x-2\right|$  

• vertical stretch 5 and vertical shift down 2

• vertical compress 1/5 and horizontal shift left 2

• vertical compress 1/5 and horizontal shift right 2

• vertical stretch 5 and vertical shift up 2

Write the equation for a graph that is vertically stretched by a factor of 4 and vertically shifted up 7.

• 
  

  $f\left(x\right)=4\left|x-7\right|$

• $f\left(x\right)=4\left|x\right|+7$

• $f\left(x\right)=4\left|x+7\right|$

• $f\left(x\right)=4\left|x\right|-7$
  

Find the vertex given the equation above.

• (-4,0)

• (0,4)

• (0,-4)

• (4,0)

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2

• f(x ) = -I x - 4 I + 2

• f(x ) = I x - 4 I + 2

• f(x ) = -I x + 4 I + 2

What is the equation of the graph below?

• f(x) = I x + 2 I 
• f(x) = I x + 2 I +2
• f(x) = I x - 2 I +2
• f(x) = I x - 2 I 

Tags

CCSS.HSF-IF.C.7D

Give the domain in interval notation.

• $\left[4,\infty\right)$

• $\left(-\infty,4\right]$

• $\left(-\infty,\infty\right)$

Give the range in set builder notation.

• {y I y $\le$ 0}

• {y I y $\ge$ 0}

• {y I y $\le$ 3 }

• {y I y $\ge$ 3}

Describe the transformations from the parent function:

g(x) = -4|x+2|+5

• ROX, vertical shift up 5, horizontal shift right 2.

• ROX, vertical stretch 4, vertical shift up 5, horizontal shift right 2.

• ROX, vertical compress -4, vertical shift up 5, horizontal shift left 2.

• ROX, vertical stretch 4, vertical shift up 5, horizontal shift left 2.

Write an absolute value function given the following transformations:

Vertical Compress 1/2

Horizontal shift left 1 unit

Vertical shift down 9 units

• f(x) = 2|x + 1| - 9

• f(x) = 1/2|x - 1| - 9

• f(x) = 1/2|x + 1| - 9

• f(x) = 2|x - 1| - 9