Exponential Function Transformations

The video tutorial explains transformations of exponential functions, focusing on how different bases affect the graph's shape. It covers the y-intercept's consistency, the impact of adding or subtracting values inside and outside the function, and the effects of negative signs on graph reflections. The tutorial also illustrates how to shift and reflect graphs about the x-axis and y-axis, using examples to clarify these concepts.

What is an exponential function?

• A function where the variable is in the exponent

• A function where the base is always 10

• A function that is always linear

• A function that has no intercepts

Which of the following is true about the base of an exponential function?

• It is always an integer

• It must be a fraction

• It cannot be equal to one

• It must be less than zero

How does changing the base of an exponential function affect its graph?

• It makes the graph linear

• It slightly alters the graph

• It has no effect on the graph

• It completely changes the graph

What is the y-intercept of an exponential function?

• Depends on the exponent

• Depends on the base

• Always 1

• Always 0

Why does the graph of an exponential function always cross the y-axis at (0,1)?

• Because the function is linear

• Because the base is always one

• Because any number raised to the power of zero is one

• Because the exponent is always zero

What happens to the graph of an exponential function when you subtract a number inside the function?

• It shifts left

• It shifts right

• It shifts down

• It shifts up

How do you determine the direction of a horizontal shift in an exponential function?

• By the exponent of the function

• By the sign of the number added inside the function

• By the sign of the number added outside the function

• By the base of the function

What transformation occurs when a negative number is added inside the exponential function?

• The graph shifts left

• The graph shifts right

• The graph shifts down

• The graph shifts up

How does the graph of an exponential function change when a positive number is added inside the function?

• The graph shifts left

• The graph shifts right

• The graph shifts up

• The graph shifts down

What transformation occurs when a positive number is added inside the exponential function?

• The graph shifts left

• The graph shifts right

• The graph shifts up

• The graph shifts down