Set 4: Quadratic Equations (Advanced)

Explanation

Answer: A

The range of $y = x^2$ is $y \geq 0$ . What is the range of $y = -x^2 - 3$ ?

$y \leq -3$

✓ Correct

$y \geq -3$

$y \leq 0$

$y \geq 3$

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Vertex: $(0, -3)$ . 2. Direction: Opens downward ( $a=-1$ ). 3. Range: Since it opens down, the vertex is the maximum. All y-values must be less than or equal to the vertex y-coordinate. So, $y \leq -3$ . Choice B is incorrect because it opens downward. Choice C is incorrect because the vertex is at -3. Choice D is incorrect because it opens downward and vertex is at -3.

Key Steps:

•

The correct answer is $y \leq -3$

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.

🎯 Keep Practicing!

Master all sections for your best SAT score

📚Reading & Writing→📖Vocabulary→