Transformation of Functions

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.

• (2,-4)
• (-2,4)
• (8,4)
• (-2,-8)

f(x) = ⅔(x - 7)² 

• Shrink of ⅔
  Right 7
• Shrink of ⅔
  Left 7
• Stretch of ⅔
  Right 7
• Stretch of ⅔
  Left 7

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

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

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x + 4

• shifted up four units
• shifted down four units
• shifted left four units
• shifted right four units

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^(x+4)

• shifted up four units
• shifted down four units
• shifted left four units
• shifted right four units

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

• shifted up five units
• shifted down five units
• shifted left five units
• shifted right five units

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

• shifted up five units
• shifted down five units
• shifted left 5 units
• shifted right 5 units