Transformations of Exponential Functions

The video tutorial demonstrates how to work with transformations of exponential functions. It covers reflections, vertical and horizontal translations, and stretches or compressions. The tutorial explains how these transformations affect the graph of exponential functions and provides examples of graphing these transformations. It also discusses the use of tables for handling multiple transformations and provides step-by-step instructions for applying these transformations to specific points on a graph.

What is the effect of multiplying an exponential function by -1?

• It compresses the graph vertically.

• It stretches the graph horizontally.

• It shifts the graph up.

• It reflects the graph across the x-axis.

How does the graph of y = 2^x + 4 differ from y = 2^x?

• It is reflected across the y-axis.

• It is shifted four units to the right.

• It is shifted four units up.

• It is compressed vertically.

What does the 'a' in the transformation equation represent?

• Horizontal stretch or compression

• Vertical stretch or compression

• Vertical translation

• Horizontal translation

How does a horizontal translation affect the graph of an exponential function?

• It stretches the graph vertically.

• It moves the graph left or right.

• It reflects the graph across the x-axis.

• It moves the graph up or down.

What does the 'K' in the transformation equation affect?

• Vertical stretch or compression

• Horizontal stretch or compression

• Horizontal translation

• Vertical translation

What is the effect of a positive 'D' in the transformation equation?

• It compresses the graph horizontally.

• It moves the graph to the left.

• It moves the graph to the right.

• It stretches the graph vertically.

How does multiplying the function by a number greater than 1 affect the graph?

• It compresses the graph vertically.

• It stretches the graph vertically.

• It shifts the graph to the left.

• It shifts the graph to the right.

What does a negative 'C' in the transformation equation do?

• It reflects the graph across the y-axis.

• It moves the graph down.

• It moves the graph up.

• It compresses the graph horizontally.

What is the effect of a negative 'a' in the transformation equation?

• It shifts the graph to the right.

• It stretches the graph horizontally.

• It reflects the graph across the x-axis.

• It compresses the graph vertically.

How does a negative 'D' affect the graph?

• It moves the graph to the right.

• It compresses the graph horizontally.

• It stretches the graph vertically.

• It moves the graph to the left.