Exponential Functions Transformations

The video tutorial covers parameter changes in exponential functions, focusing on graphing y = 3^x. It explains how to graph the parent function and explores parameter changes, including vertical stretch with a=2, horizontal translation, and vertical translation with y+3. The tutorial emphasizes understanding the effects of these changes on the graph's shape and position.

What is the base of the parent exponential function discussed in the video?

• 5

• 4

• 3

• 2

What is the special point on the graph of the parent function y = 3^x?

• (1, 1)

• (0, 0)

• (0, 1)

• (1, 0)

What is the horizontal asymptote of the parent function y = 3^x?

• y = 3

• y = 2

• y = 1

• y = 0

What happens to the graph of y = 3^x when it is multiplied by 2?

• It stretches vertically

• It shifts left

• It shifts right

• It compresses vertically

What is the effect of a vertical stretch on the y-coordinates of the graph?

• They are doubled

• They are tripled

• They remain the same

• They are halved

How does a horizontal translation affect the x-coordinates of the graph?

• They move up

• They move down

• They move left

• They move right

What is the new x-coordinate of the point (0, 1) after a horizontal translation of 2 units to the right?

• 0

• 1

• 2

• 3

What is the effect of adding 3 to the y-coordinate of the exponential function?

• Vertical shift

• Reflection

• No change

• Horizontal shift

What is the new y-coordinate of the point (0, 1) after a vertical translation of 3 units up?

• 1

• 4

• 2

• 3

How does the horizontal asymptote change after a vertical translation of 3 units up?

• y = 1

• y = 3

• y = 2

• y = 0