Classwork for Thursday 12/17 - Transformations Review

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)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

• f(x) = −(x−2)³−1

• f(x) = −(x+2)³−1

• f(x) = −(x−2)³ + 1

• f(x) = −(x+2)³ + 1

• 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

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Which equation represents this graph.

• f(x)=∣3x∣

• f(x)=2∣x∣-3

• f(x)=∣x∣

• f(x)=3∣x∣-2

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

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

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

If the blue function is f(x)=√x, the red function must be

• g(x)=√(-x)

• g(x)=√(x-1)

• g(x)=√x-1

• g(x)=-√x