Question
Question 9 of 10
How would you describe the difference between the graphs of
and
?
A.
is a reflection of
over the
-axis.
B.
is a reflection of
over the line
D.
is a reflection of
over the line
.
Deflection of
over the
-axis.
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.
is a reflection of
over the line
.
Solution

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Mind Expander
The graphs of
and
actually represent two different perspectives on parabolic functions. While
describes a standard upward-opening parabola that moves up 4 units on the y-axis,
treats y as the independent variable, effectively flipping the traditional x-y roles, resulting in a sideways-opening parabola with the vertex at (0, 4).
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,
would be completing the transformation of
when solving for y. Essentially, the graphs can depict a symmetry over the line
when you interpret both functions in terms of their intersections and overall shapes.