Transformations Unit Review

Which equation shows a translation of 4 units to the right and 1 unit down?

• y=(x+4)²-1

• y=Ιx-4Ι-1

• y=(x+4)³+1

• y=(x-4)²+1

Describe the transformations of the following function: f(x) = |x+6| - 4

• Left 6, Down 4

• Right 6, Down 4

• Right 6, Up 4

• Left 6, Up 4

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x - 3

• shifted up three units

• shifted down three units

• shifted left three units

• shifted right four units

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^(x-3)

• shifted up three units
• shifted down three units
• shifted left three units
• shifted right three units

Tags

CCSS.HSF.BF.B.3

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

• Left 4
  up 9
• Left 4
  Down 9
• Right 4
  up 9
• Right 4
  Down 9

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Which transformation on

f(x) = x

is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units
• Translation right 2 units
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2