Graphing Exponential Functions

Question 1

How can you use transformations to graph this function? Explain your steps.

Revolt · Accepted Answer

To graph the function y = 3 * 7^(-x) + 2, start with the parent function y = 7^x. First, reflect the graph across the y-axis to account for the negative exponent, which gives y = 7^(-x). Next, apply a vertical stretch by a factor of 3 to obtain y = 3 * 7^(-x). Finally, shift the graph vertically up 2 units to reach the final function y = 3 * 7^(-x) + 2.

Question 2

Which of the following did you include in your response?

Revolt · Accepted Answer

Sketch the graph of .; Reflect the graph across the y-axis to show the function .; Stretch the graph vertically by a factor of 3 to show the function; Shift the graph up 2 units to show the function

Question 3

Identify the domain and range of each function.

Revolt · Accepted Answer

The domain of this function is .: negative infinity to infinity; The range of this function is .: 0 to infinity

Graphing Exponential Functions Answers

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