Absolute Value Functions

What is the definition of absolute value of a number?

• The opposite sign of a number.

• The real value of a number.

• The distance the number is from zero.

• The position of a number on the x-axis.

Which is the mathematical symbol for absolute value?

• $\left(x\right)$

• $\left\{x\right\}$

• $<x>$

• $\left|x\right|$

Describe the transformation from the parent function.

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What is the vertex of the function?

 $f\left(x\right)=-2\left|x+3\right|-2$  

•  $\left(-3,-2\right)$  

•  $\left(3,-2\right)$  

•  $\left(3,2\right)$  

•  $\left(-3,2\right)$  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed?

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

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

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

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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which function is graphed?

• $f\left(x\right)=-3\left|x-1\right|+4$
  

• $f\left(x\right)=-\left|x-1\right|+4$

• $f\left(x\right)=-3\left|x+1\right|+4$

• $f\left(x\right)=-\left|x+1\right|+4$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which absolute value function shows the following transformations?

Opening downward

Horizontal shift right 2 units

Vertical shift down 7 units

• $y=-\left|x+2\right|-7$
  

• $y=\left|x-2\right|-7$

• $y=-\left|x-2\right|-7$

• $y=-\left|x-2\right|+7$

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

Describe the transformations compared to the parent function f(x) = |x|.

f(x) = 3|x + 4|- 5

• Wider, shifted right 4 units, and down 5 units

• Wider, shifted right 4 units, and up 5 units

• More narrow, shifted left 4 units, and down 5 units

• More narrow, shifted right 4 units, and down 5 units

Tags

CCSS.HSF.BF.B.3

What are the values of A, H and K in the equation below?

 $f\left(x\right)=4\left|x+2\right|-3$  

• A = 4
  H = 2

  K = -3

• A = 4
  H = -2
  K = -3

• A = - 3
  H = 4
  K = 2

• A = -3
  H = -2
  K = 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Which of the following is the graph of an absolute function?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7