Friday Practice - Absolute Value & Transformations

Describe the transformation that is applied to the parent function.

f(x) = IxI -5

• Horizontal Shift left 5

• Horizontal Shift right 5

• Vertical Shift up 5

• Vertical Shift down 5

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

y = -2 I x - 3 I + 3

• reflected over x axis, stretch by 2, right 3, up 3

• reflected over x axis, stretch by 2, left 3, up 3.

• reflected over x axis, shrink by 2, right 3, up 3

• reflected over the x axis, shrink by 2, left 3, up 3

What is the domain of the absolute value function?

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the range of the absolute value function?

• (-infinity, infinity)
• [3, infinity)
• [0, infinity)
• (-infinity, 3]

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write the equation for an absolute value graph that has a vertical shrink by 2/5 and a horizontal shift right 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of  $f\left(x\right)$  ?

• Horizontal shift left 1 and vertical shift down 9 

• Horizontal shift right 1 unit and vertical shift down 9 

• Vertical shift up 1 and Horizontal shift right 9 

• Vertical shift down 1 and Horizontal shift left 9 

What does the transformation $f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4$ do to the graph of  $f\left(x\right)$  ?

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

• Shrinks the graph horizontally by a factor of 1/3 and translates up 4 units.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

What is the equation of this graph?

• f(x) = (x + 2)² - 3
• f(x) = (x - 2)² - 3
• f(x) = |x + 2| - 3
• f(x) = |x - 2| - 3

Tags

CCSS.HSF-IF.C.7D