Alg 2 - 1.2B

Identify the transformations.

• horizontal shift to the left 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and vertical stretch by a factor of 3

• horizontal shift to the right 2 and compression by a factor of 3

• horizontal shift to the left 2 and compression by a factor of 3

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)²

• Compression of ⅔

  Right 7

• Compression of ⅔

  Left 7

• Left ⅔

  Vertical stretch of 7

• Right ⅔

  Horizontal stretch of 7

 f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=2f(x)
• g(x)=0.5f(x)
• g(x)=f(x) + 2
• g(x)=f(x + 2)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation of y = f(x) for the new function
 y = 1/5f(x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = - f(x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = f(- x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = g(x) for the function

y = 3g(x - 3) + 5

• Shifted up 5 units

  Shifted right 3 units

  Stretched vertically by a factor of 3

• Shifted up 5 units

  Shifted left 3 units

  Stretched vertically by a factor of 3

• Shifted down 5 units

  Shifted left 3 units

  Stretched vertically by a factor of 3

• Shifted up 5 units

  Shifted right 3 units

  Compressed by a factor of 1/3

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

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 y-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

• 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.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7