Set 16: Quadratic Equations

Explanation

Answer: A

If the graph of a parabola does not touch the x-axis, its discriminant is:

Negative

✓ Correct

Zero

Positive

Undefined

Detailed Explanation

Choice A is correct. Choice A is the correct answer. 1. Geometry: Not touching the x-axis means there are no x-intercepts. 2. Algebra: No x-intercepts means no real solutions to $ax^2 + bx + c = 0$ . 3. Discriminant: No real solutions implies $\Delta < 0$ (Negative). Choice B is incorrect because zero means it touches once. Choice C is incorrect because positive means it crosses twice. Choice D is incorrect.

Key Steps:

•

The correct answer is Negative

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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