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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.

Ask by Craig Fleming. in the United States
Nov 07,2024

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The correct answer is C. is a reflection of over the line .

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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.

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