Set 12: Quadratic Equations

Explanation

Answer: A

At which points do the parabola $y = x^2$ and line $y = 4$ intersect?

$(2, 4)$ and $(-2, 4)$

✓ Correct

$(2, 4)$ only

$(4, 16)$ and $(-4, 16)$

$(4, 2)$ and $(4, -2)$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Set equal: $x^2 = 4$ . 2. Solve: $x = \pm 2$ . 3. Points: Since $y$ is always 4, the points are $(2, 4)$ and $(-2, 4)$ . Choice B is incorrect because it misses the negative x. Choice C is incorrect because it uses x=4. Choice D is incorrect because it swaps x and y.

Key Steps:

•

The correct answer is $(2, 4)$ and $(-2, 4)$

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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