Transformations of Exponential Functions

The video tutorial covers transformations of exponential functions, including translations, reflections, and dilations. It explains how these transformations affect the graph of a function on a coordinate plane. The tutorial provides examples to illustrate vertical and horizontal movements, reflections, and stretches or compressions. By the end, students should understand how to identify and describe these transformations.

What happens to an exponential function when a number is subtracted from the exponent?

• The graph moves down.

• The graph moves up.

• The graph moves right.

• The graph moves left.

If a number is added after the exponent in an exponential function, what is the effect on the graph?

• The graph moves up.

• The graph moves right.

• The graph moves down.

• The graph moves left.

What does a negative sign in front of the base of an exponential function indicate?

• Vertical stretch

• Horizontal reflection

• Vertical reflection

• Horizontal stretch

How does a number greater than one in front of the base affect an exponential function?

• It causes a vertical stretch.

• It causes a vertical compression.

• It causes a horizontal stretch.

• It causes a horizontal compression.

What is the effect of a negative exponent on an exponential function?

• Horizontal stretch

• Vertical stretch

• Horizontal reflection

• Vertical reflection

In the transformation of 7^x to -5 * 7^(2x), what does the negative sign indicate?

• Vertical reflection

• Vertical stretch

• Horizontal reflection

• Horizontal stretch

What does a multiplication factor of 0.4 in the exponent indicate?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

If an exponential function is transformed by adding 8 at the end, what happens to the graph?

• It moves 8 units left.

• It moves 8 units right.

• It moves 8 units up.

• It moves 8 units down.

What does a positive fraction less than one in front of the base indicate?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

In the transformation of 2/3^x to 6 * 2/3^(0.4x), what does the 6 indicate?

• Horizontal stretch

• Vertical reflection

• Horizontal reflection

• Vertical stretch