Transformations of Exponential Functions

What happens to the graph of an exponential function when a positive value is added vertically?

• It shifts to the right

• It shifts downwards

• It remains unchanged

• It shifts upwards

If a function f(x) is translated to form g(x) by adding 3, where will g(x) be relative to f(x)?

• 3 units to the right

• 3 units up

• 3 units down

• 3 units to the left

What effect does subtracting a number from x in the function's equation have on its graph?

• Moves it to the left

• Moves it to the right

• Moves it downward

• No movement

In the context of horizontal translations, what does adding a positive number inside the function's argument do?

• Shifts the graph to the left

• Shifts the graph to the right

• Shifts the graph upwards

• No effect on the graph

How does the graph of an exponential function change when x is replaced by x minus 3?

• Shifts 3 units to the left

• Shifts 3 units to the right

• Shifts 3 units up

• Shifts 3 units down

What is the y-intercept of function G if it is a vertical translation of function F by 2 units up?

• 3

• 2

• 1

• 0

If function J is a downward translation of function F by 1 unit, what is the y-intercept of J?

• 1

• -1

• 2

• 0

Comparing the asymptotes of functions G and J, how many units apart are they if G is translated up by 3 units?

• 4 units

• 3 units

• 2 units

• 1 unit

If the original function F has an asymptote at y=0, where will the asymptote of function J be if it is translated down by 1 unit?

• y = -1

• y = 1

• y = 0

• y = 2

What is the relationship between the y-values of functions G and J if G is translated up by 3 units from F?

• There is no consistent relationship

• G's y-values are 3 units less than J's

• G's y-values are the same as J's

• G's y-values are 3 units greater than J's