1

Set 1: Quadratic Equations (Advanced)

Explanation

Answer: A

Describe the transformation of y=−x2y = -x^2 compared to y=x2y = x^2.

A.

Reflected over the x-axis

✓ Correct
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., y=−f(x)y = -f(x)) reflects the graph across the x-axis. 1. y=x2y = x^2 opens upward. 2. y=−x2y = -x^2 opens downward. Choice B is incorrect because y=(−x)2=x2y = (-x)^2 = x^2 is the same graph (symmetric over y-axis). Choice C is incorrect because that would be x2−1x^2 - 1. 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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