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Question 9 of 10
How would you describe the difference between the graphs of
A.
B.
D.
Deflection of
How would you describe the difference between the graphs of
A.
B.
D.
Deflection of
Ask by Craig Fleming. in the United States
Nov 07,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
The correct answer is C.
Solution
To analyze the functions
-
Graph of
: - This is a parabola that opens upwards with its vertex at the point
. The graph is symmetric about the -axis.
- This is a parabola that opens upwards with its vertex at the point
-
Graph of
: - This is also a parabola that opens upwards, but it is expressed in terms of
. If we rewrite it in terms of , we can express it as . This means that for each value of , there is a corresponding value of .
- This is also a parabola that opens upwards, but it is expressed in terms of
Now, let’s analyze the options:
A.
- This is incorrect. The graphs are not reflections over the
-axis; they are different representations of parabolas.
B.
- This is also incorrect. The graphs do not reflect over the line
.
C.
- This is correct. The graph of
can be obtained by reflecting the graph of over the line .
D. Deflection of
- This is incorrect. The graphs do not reflect over the
-axis.
Thus, the correct answer is:
C.
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Simplify this solution Mind Expander
The graphs of
Now, when you consider the reflections, the relationship isn’t a simple one. The correct description would note that if you consider them in their respective coordinate systems,
