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Answer: ASet 15: Quadratic Equations (Intermediate)
Explanation
Describe the transformation of compared to .
A.✓ Correct
Reflected over the x-axis
B.
Reflected over the y-axis
C.
Shifted down 1 unit
D.
Made narrower
Detailed Explanation
Choice A is correct. Choice A is the correct answer. Multiplying the output of the function by -1 (i.e., ) reflects the graph across the x-axis. 1. opens upward. 2. opens downward. Choice B is incorrect because is the same graph (symmetric over y-axis). Choice C is incorrect because that would be . Choice D is incorrect because the coefficient magnitude is still 1.
Key Steps:
•
The correct answer is Reflected over the x-axis
Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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