9

Set 12: Quadratic Equations (Intermediate)

Explanation

Answer: A

Which graph is widest?

A.

y=0.1x2y = 0.1x^2

✓ Correct
B.

y=x2y = x^2

C.

y=2x2y = 2x^2

D.

y=10x2y = 10x^2

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The width of a parabola is determined by the absolute value of the leading coefficient a|a|. * Smaller a|a| \rightarrow Wider graph. * Larger a|a| \rightarrow Narrower graph. Comparing values: 0.1<1<2<100.1< 1 < 2 < 10. So 0.11 produces the widest graph. Choice B is incorrect because 1>0.11> 0.1. Choice C is incorrect because 2>0.12> 0.1. Choice D is incorrect because 10>0.110> 0.1 (narrowest).

Key Steps:

The correct answer is y=0.1x2y = 0.1x^2

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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