Translating Functions

Which function describes the transformation of f(x)=x² into g(x)=(x-3)²+5

• right 5 and down 3

• right 3 and up 5

• left 5 and down 3

• left 3 and up 5

Which transformation will occur if y = x is replaced with y = x+2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Tags

CCSS.HSF.BF.B.3

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

How is this function transformed from the parent function?

• Translated left and up

• Translated right and up

• Translated left and down

• Translated right and down

Tags

CCSS.HSF.BF.B.3

How is this function transformed from the parent function?

• Translated left

• Translated right

• Translated down

• Translated up

Tags

CCSS.HSF.BF.B.3

Which is a correct representation of the original function f(x) to its transformation g(x)?

• g(x) = -f(x-7)+12

• g(x) = f(x-7)+12

• g(x) = -f(x+7)+12

• g(x) = f(x+7)+12

Describe the transformation.

• right 4 and down 2

• left 4 and up 2

• right 4 and up 2

• left 4 and down 2

Which function describes the transformation of f(x)=x² into g(x)=(x+4)²-7

• up 4 and left 7

• down 7 and left 4

• down 4 and right 7

• up 7 and left 4

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