Transformation of Functions

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

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

• -f(x)
• f(-x)
• f^-1(x)
• f(2x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

Tags

CCSS.HSF.BF.B.3

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

• Vertical Shrink of ⅔
  Right 7
• Horizontal Shrink of ⅔
  Left 7
• Left  ⅔
  Vertical stretch of 7
• Right ⅔
  Horizontal stretch of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

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

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.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 three units

Tags

CCSS.HSF.BF.B.3

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 3 I

• Left 3
• Right 3
• Up 3
• Down 3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of the equation below from the parent function of y = I x I
y = I x + 2 I - 5

• Left 2 up 5
• Right 2 up 5
• Left 2 down 5
• Right 2 down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7