Question
Use transformations to explain how the graph of
Which of the following explains the transformations to find the graph of
Shifting of
Shifting of
Shifting of
Shifting of
Which of the following explains the transformations to find the graph of
Shifting of
Shifting of
Shifting of
Shifting of
Ask by Lawson Wells. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To graph
Solution
To find the graph of
-
Starting Function: The base function is
. -
Horizontal Shift: The expression
indicates a horizontal shift. Specifically, means we shift the graph of to the right by 2 units. This is because we replace with , which moves the graph to the right. -
Reflection: The negative sign in front of the square root,
, indicates a reflection about the -axis. This means that all the -values of the graph will be inverted (i.e., positive values become negative and vice versa).
Putting these transformations together, we can summarize the steps to obtain the graph of
- Start with the graph of
. - Shift it to the right by 2 units.
- Reflect the resulting graph about the
-axis.
Thus, the correct explanation of the transformations to find the graph of
Shifting of
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To transform the graph of
So, the correct explanation of the transformations is: shifting of
