10

Set 2: Quadratic Equations

Explanation

Answer: A

The graph of y=3x2y = 3x^2 is _____ compared to y=x2y = x^2.

A.

Narrower (vertically stretched)

✓ Correct
B.

Wider (vertically compressed)

C.

Shifted up 3 units

D.

Shifted right 3 units

Detailed Explanation

Choice A is correct. Choice A is the correct answer. The leading coefficient aa determines the vertical stretch or compression. 1. Here a=3|a| = 3. 2. Since a>1|a| > 1, the graph is vertically stretched away from the x-axis. 3. This makes the parabola appear narrower. Choice B is incorrect because that happens when 0<a<10< |a| < 1. Choice C is incorrect because that would be x2+3x^2 + 3. Choice D is incorrect because that would be (x3)2(x - 3)^2.

Key Steps:

The correct answer is Narrower (vertically stretched)

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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