Set 13: Quadratic Equations (Advanced)

Explanation

Answer: A

Find the intersection of $y = x^2 + 2x$ and $y = x^2 + 4$ .

$(2, 8)$

✓ Correct

$(2, 6)$

$(-2, 0)$

No intersection

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Set equal: $x^2 + 2 x = x^2 + 4$ . 2. Subtract $x^2$ from both sides: $2x = 4$ . 3. Solve: $x = 2$ . 4. Substitute: $y = 2^2 + 4 = 8$ (or $y = 2^2 + 2(2) = 8$ ). 5. Point: $(2, 8)$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is $(2, 8)$

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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