Transformations of Functions Quiz Review

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Describe the transformations that maps

y = x to y = - (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

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³

Tags

CCSS.HSF.BF.B.3

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

What are the transformations?

y=3(x-4)²?

• horizontal shift right 4, vert stretch by a factor of 3

• horizontal shift left 4, vert stretch by a factor of 3

• horizontal shift right 4, vert stretch by a factor of 1/3

• horizontal shift right 4, vert shift up 3

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

Tags

CCSS.HSF.BF.B.3

• f(x)=3∣x−2∣−2
• f(x)=1/3∣x+2∣−2
• f(x)=3∣x+2∣−2
• f(x) = 1/3∣x−2∣+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.11

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B