Graphing Absolute Value Inequalities

Which function shows horizontal translation and a vertical stretch?

• f(x) = -2|-x |

• f(x) = -3|x| - 7

• f(x) = -|-x + 1| + 4

• f(x) = 5|x - 4| - 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the movements.

y= −|x|+4

• Left 4, Down 1

• Reflect over x-axis, Down 4

• Reflect over x-axis, Up 4

• Right 4, Up 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which graph matches the function:

y = -2|x - 3| + 5

• A

• B

• C

• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is this graph correct for y= -2|x+4|

• Yes

• No

Tags

CCSS.HSF-IF.C.7D

What is the correct equation for this graph?

• y < |x+4| -3

• y ≤ |x+4|+ 3

• y ≤ |x-4| -1

• y < 1/2|x+4| + 1/2

Tags

CCSS.HSF-IF.C.7D

What is the correct equation for this graph?

• y > -|x| + 7/2

• y > -2|x| + 4

• y > -1/2|x| + 2

• y > |x| + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

What is the correct equation for this graph?

• y ≤ 2|x-1| - 1

• y ≤ 1/2|x-1| + 4

• y ≥ -2|x+1| - 2

• y ≥ -2|x-1| + 1

Tags

CCSS.HSF-IF.C.7D

Which graph matches the inequality?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Which graph matches the inequality?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Which graph matches the inequality?

• 
• 
• 
• 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12