NC Math 3 - Transformations of Functions Review

f(x) = 5x² + 2

• Stretch of 5

  Up 2

• Shrink of 5

  Up 2

• Stretch of 5

  Down 2

• Shrink of 5

  Down 2

If the blue is f(x)=x^2,

then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

• g(x)=2x²

• g(x)=0.5x²

• g(x)=x²+2

• g(x)=(x+2)²

If the blue is f(x)=x^2,

the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2

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

 Name the parent function.

• linear

• quadratic

• cubic

• logarithmic

Describe the transformations of f(x) when compared to the parent function.

f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

 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

Which equation describes the transformation of

shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

 Which transformation transforms

the graph of f(x) = x²

to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right