Set 2: Quadratic Equations (Intermediate)

Explanation

Answer: A

If $a > 0$ and $c < 0$ in $y = ax^2 + bx + c$ , how many x-intercepts are there?

✓ Correct

Depends on b

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. $a > 0$ : Parabola opens upward. 2. $c < 0$ : y-intercept is negative (below the x-axis). 3. Logic: If the graph crosses the y-axis below zero and eventually goes up to infinity on both sides, it MUST cross the x-axis twice (once on the way down, once on the way up). Choice B is incorrect. Choice C is incorrect. Choice D is incorrect because the geometry guarantees two roots regardless of $b$ .

Key Steps:

•

The correct answer is 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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