Transformations Review

Describe the transformation of f(x)+5

• up 5 units

• down 5 units

• left 5 units

• right 5 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x)-6

• up 6 units

• down 6 units

• left 6 units

• right 6 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation of f(x-5)+6

• right 5 units

  down 6 units

• right 5 units

  up 6 units

• left 5 units

  up 6 units

• left 5 units

  down 6 units

Describe the transformation of 3f(-x)-7

• vertical stretch by 3

  reflect over y axis

  down 7

• vertical shrink by 3

  reflect over x axis

  up 7

• horizontal stretch by 1/3

  reflect over y axis

  down 7

• horizontal shrink by 1/3

  reflect over y axis

  up 7

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.

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

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformations of - f(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)

Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.

• f(x) has been reflected over the y-axis.

Describe the transformation of
  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

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

• Vertical shrink by a factor of 2

• Vertical Stretch by a factor of 2

• Vertical translation up by 2 units.

• Reflection across the x-axis.