Set 4: Quadratic Equations

Explanation

Answer: A

A fountain shoots water in a parabolic arc $y = -x^2 + 6x$ . What is the maximum height of the water?

9 units

✓ Correct

3 units

6 units

12 units

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Find the vertex. 1. $x = -6 / (2(-1)) = 3$ . 2. $y = -(3)^2 + 6(3) = -9 + 18 = 9$ . Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

•

The correct answer is 9 units

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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