Absolute value functions and graphs

Describe the transformation(s). Select all that apply.

 $f\left(x\right)=\left|x\right|-3$  

• Up 3

• Down 3

• Right 3

• Left 3

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

Describe the transformation(s). Select all that apply.

 $g\left(x\right)=-\left|x+9\right|$  

• Up 9

• Right 9

• Left 9

• Down 9

• Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.4

Describe the transformation(s). Select all that apply.

 $h\left(x\right)=4\left|x-1\right|$  

• Vertical Stretch (graph becomes steeper)

• Right 1

• Left 1

• Down 1

• Vertical Compression (graph becomes less steep)

Tags

CCSS.HSF.BF.B.3

Describe the transformation(s). Select all that apply.

 $p\left(x\right)=-\left|x+2\right|-7$  

• Reflection over the x-axis

• Right 2

• Left 2

• Up 7

• Down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Identify the location of the vertex.

 $f\left(x\right)=-\left|x-3\right|+8$  

• (3, -8)

• (-3, 8)

• (3, 8)

• (-3, -8)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the location of the vertex.

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

• (1, -5)

• (-1, -5)

• (-1, 5)

• (1/2, -5/2)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the location of the vertex.

 $f\left(x\right)=\left|x-2\right|$  

• There is no vertex

• (0, -2)

• (-2, 0)

• (2, 0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the location of the vertex.

 $f\left(x\right)=\left|x\right|+1$  

• There is no vertex

• (0, 1)

• (1, 0)

• (0, -1)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the location of the vertex.

 $f\left(x\right)=\left|x\right|$  

• There is no vertex

• (1, 1)

• (0, 0)

• (1, 0)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the vertex of the absolute value function?

• (4, 0)
• (0, 4)
• (-infinity, infinity)
• [4, infinity)

Tags

CCSS.HSF-IF.C.7D