Transformations of Functions & More!

Which transformation will occur if f(x) is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

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

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

• (2,-4)
• (-2,4)
• (8,4)
• (-2,-8)

How did the function y=x+7 shift from y=x?

• up 7

• down 7

• left 7

• right 7

Tags

CCSS.HSF.BF.B.3

If f(x)=2x-3, what is the equation of the function that has been shifted up 5 units?

• f(x)=2x+8

• f(x)=2x+2

• f(x)=2x-8

• f(x)=2x-2

If f(x)=3x-1, what is the equation represented by the transformation f(x)-3

• f(x)=3x-4

• f(x)=2x+2

• f(x)=2x-1

• f(x)=2x+1

If f(x)=2^x+1, what is the equation for f(x)+7?

• f(x)=2^x+6

• f(x)=2^x-6

• f(x)=2^x+8

• f(x)=9^x+1

If f(x)=x+4 and g(x)=x-2, which of the following best describes the transformation from f(x) to g(x)?

• f(x) moves up 2 units to become g(x)

• f(x) moves down 2 units to become g(x)

• f(x) moves up 6 units to become g(x)

• f(x) moves down 6 units to become g(x)

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