Set 3: Quadratic Equations (Intermediate)

Explanation

Answer: A

Which function is symmetric about the y-axis?

$y = x^2 + 2$

✓ Correct

$y = (x - 1)^2$

$y = x^2 + x$

$y = (x + 2)^2$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Symmetry about the y-axis means the function is even, i.e., $f(-x) = f(x)$ . This happens when the vertex is on the y-axis ( $h=0$ ). * A: Vertex $(0, 2)$ . Symmetric. * B: Vertex $(1, 0)$ . Not symmetric. * C: Vertex $(-0.5, -0.25)$ . Not symmetric. * D: Vertex $(-2, 0)$ . Not symmetric. Choice B is incorrect because it is shifted right. Choice C is incorrect because it has a linear term. Choice D is incorrect because it is shifted left.

Key Steps:

•

The correct answer is $y = x^2 + 2$

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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