Set 17: Quadratic Equations (Advanced)

Explanation

Answer: A

For what values of $x$ is the graph of $y = x^2$ above the line $y = 9$ ?

$x < -3$ or $x > 3$

✓ Correct

$-3 < x < 3$

$x > 9$

$x > 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. "Above" means $>$ : $x^2 > 9$ . 2. Solve inequality: $|x| > 3$ . 3. Result: $x > 3$ or $x < -3$ . Choice B is incorrect because that is where parabola is below line. Choice C is incorrect. Choice D is incorrect because it misses negative values.

Key Steps:

•

The correct answer is $x < -3$ or $x > 3$

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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