Transformations of Exponential Functions Explained

The video tutorial covers transformations of exponential functions, focusing on the transformation equation. It explains the roles of 'a', 'B', 'H', and 'K' values in determining the nature of the transformation, such as reflection, vertical stretch or compression, exponential growth or decay, and horizontal or vertical translations. Two examples are provided to illustrate vertical stretch and compression.

What does a negative 'a' value indicate in the transformation of an exponential function?

• Reflection across the x-axis

• Reflection across the y-axis

• Horizontal stretch

• Vertical compression

Tags

CCSS.HSF.BF.B.3

If 'a' is greater than 1, what effect does it have on the graph?

• Vertical stretch

• Horizontal shift to the right

• Vertical compression

• Horizontal shift to the left

If the 'a' value is between 0 and 1, what happens to the graph?

• It reflects across the y-axis

• It stretches vertically

• It compresses vertically

• It translates horizontally

What does a 'B' value greater than 1 signify?

• Exponential decay

• Vertical translation

• Horizontal translation

• Exponential growth

Tags

CCSS.HSF-IF.C.8B

A 'B' value between 0 and 1 indicates what type of function?

• Exponential growth

• Vertical stretch

• Horizontal translation

• Exponential decay

Tags

CCSS.HSF-IF.C.8B

An exponential function with a 'B' value less than 1 will exhibit which of the following?

• Exponential decay

• Exponential growth

• Vertical stretch

• Horizontal stretch

Tags

CCSS.HSF-IF.C.8B

What does 'H > 0' in the function's equation suggest about the graph's translation?

• Upward

• To the left

• Downward

• To the right

How does a positive 'K' value affect the graph?

• Moves it to the left

• Moves it downward

• Moves it upward

• Moves it to the right

What is the effect of a 'K' value being negative?

• Translation downward

• Translation to the right

• Translation to the left

• Translation upward

What does a function with 'H < 0' indicate about its translation?

• To the right

• Upward

• To the left

• Downward