Shifting Functions

• f(x + 2) is 2 units right of f(x - 3)

• f(x + 2) is 5 units left of f(x - 3)

• f(x + 2) is 5 units to the right of f(x - 3)

• f(x + 2) is 1 unit to the left of f(x - 3)

• the graph translates 3 units down

• the graph translates 3 units right

• the graph translates 3 units up

• the graph translates 3 units left

• the graph stretches vertically by a factor of 3

• g(x) is f(x) shifted 1 unit right, stretched vertically by a factor of 2, and shifted 5 units down.

• g(x) is f(x) shifted 1 unit left, stretched vertically by a factor of 2, and shifted 5 units down.

• g(x) is f(x) shifted 1 unit left, compressed vertically by a factor of 2, and shifted 5 units up.

• g(x) is f(x) shifted 1 unit right, stretched vertically by a factor of 2, and shifted 5 units up.

• Exponential function

• Square root function

• Absolute value function

• Linear function

• the graph translates 3 units up

• the graph translates 3 units right

• the graph translates 5 units right

• the graph translates 5 units up

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

What is the transformation shown below: y = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Describe the transformation of the equation below:

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3