Set 7: Quadratic Equations (Intermediate)

Explanation

Answer: A

The function $y = \frac{1}{2}x^2$ is:

Wider than $y = x^2$

✓ Correct

Narrower than $y = x^2$

Shifted right 0.5

Reflected

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. The coefficient is $a = 1/2$ . 2. Since $0< |a| < 1$ , the graph is vertically compressed (squashed) towards the x-axis. 3. This makes the parabola appear wider than the standard $y=x^2$ . Choice B is incorrect because that requires $|a| > 1$ . Choice C is incorrect because there is no horizontal shift. Choice D is incorrect because $a$ is positive.

Key Steps:

•

The correct answer is Wider than $y = x^2$

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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