Graphing Exponential Functions Answers

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21
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How does the graph of y = 3x compare to the graph of y = 3–x?

A
The graphs are the same.
B
The graphs are reflected across the x-axis.
C
The graphs are reflected across the y-axis.
22
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How does the graph of y = 3–x compare to the graph of

Question illustration
A
The graphs are the same.
B
The graphs are reflected across the x-axis.
C
The graphs are reflected across the y-axis.
24

Which function is graphed on the right?

A
y = 2x+3 – 2
B
y = 2x–3 + 2
C
y = 2x–2 + 3
D
y = 2x–2 – 3
25

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

Question illustration
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.

26

Which of the following did you include in your response?

A
Sketch the graph of .
Option A
B
Reflect the graph across the y-axis to show the function .
Option B
C
Stretch the graph vertically by a factor of 3 to show the function
Option C
D
Shift the graph up 2 units to show the function
Option D

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