Horizontal and Vertical Translation

• f(x)= x + 4

• f(x) = (x + 4)² + 7

• f(x) = (x + 7)² - 4

• f(x) = x - 7

Given f(x) = (x+2)² - 5. What transformations took place from the original function f(x)?

• Left 2 and up 5

• Right 2 and down 5

• Left 2 and down 5

• Right 2 and up 5

Which of the following does NOT contain a horizontal translation LEFT of y = x²?

• y = 2(x - 5)² + 3

• y = -2(x + 5)² - 3

• y = (3x + 2)² + 5

• y = -3(x + 2)² - 5

The owner of the apartment decides to change to a new schedule and they set the thermostat to change 3 hours later in the morning and the evening. On the same axes, what would this do to the graph?

• Vertical Translation of 3 up

• Vertical Translation of 3 down

• Horizontal translation of 3 right

• Horizontal Translation of 3 left

The owner of an apartment decides to set the termostat to change 3 hours later in the morning and evening. The resulting new function, G, gives the temperature as a function of time. Select the expression for G.

• Vertical translation of 2 up

• Vertical translation of 2 down

• Horizontal translation of 2 right

• Horizontal translation of 2 left

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 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

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

• up 7

• down 7

• left 7

• right 7

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