Translating Functions

Match the description to its equation.
Moves right 7

• A

• B

• C

• D

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

How did we transform from the parent function?
y = x² + 2

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• horizontal shift right 4 units

• vertical shift up 4 units

• horizontal shift left 4 units

• vertical shift down 4 units

Match the description to its equation.
Moves up 2
Moves left 4

• A

• B

• C

• D

Match the description to its equation.
- moves down 3

• A

• B

• C

• D

Choose the correct translated function.

• f(x)= (x+5)²-3

• f(x)= (x-5)²-3

• f(x)= -(x+5)²-3

• f(x)= (x+3)²-5

Choose the correct translated function.

• f(x)= -(x+1)²+4

• f(x)= (x-1)²-4

• f(x)= -(x+1)²-4

• f(x)= -(x+4)²-1

Which of the following represents the correct transformation of 2^x

• Horizontal Shift to the left by 7

• Vertical Shift to upward by 7

• Horizontal Shift to the right by 7

• Vertical shift downward by 7

Which of the following is correct about the transformation of the graph 2^x

• Horizontal Shift to the left by 9

• Vertical shift downward by 6

• Horizontal shift to the right by 9