Abs Value Graph Transformations

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)
• (-3,1)
• (2,-3)
• (3,1)

Tags

CCSS.HSF-IF.C.7D

Select all that apply. (May have more than one correct answer)

f(x) = -4|x| + 2

• Vertical compression by 4

• Reflection

• Vertical translation up 2 units

• Vertical stretch by 4

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the transformation for the following equation:

y = 5|x|

• Compression

• Vertical Stretch

Tags

CCSS.HSF.BF.B.3

Describe the transformations of the absolute value equation.

• Flips, compresses vertically, shifts right 1 unit

• Flips , compresses vertically, shifts up 1 unit

• Flips, stretches vertically, shifts up 1 unit

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflected, stretched by 2, right 3, up 3

• reflected, stretched by 2, left 3 up 3.

• reflected, compressed by 2, right 3, up 3

• reflected, compressed, left 3, up 3

What is the equation of the graph below?

• f(x) = I x I -1
• f(x) = I x I +1
• f(x) = - I x I -1
• f(x) = -I x I +1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation for a graph that is compressed by a factor of 2/5 and shifted right 6.

• y=6|x|-2/5
• y=2/5|x|+6
• y=2/5|x+6|
• y=2/5|x-6|

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.B.3