4
advanced-math

A fountain shoots water in a parabolic arc y=−x2+6xy = -x^2 + 6x. What is the maximum height of the water?

A

9 units

B

3 units

C

6 units

D

12 units

Correct Answer: A

Choice A is the correct answer. Find the vertex.

  1. x=−6/(2(−1))=3x = -6 / (2(-1)) = 3.
  2. y=−(3)2+6(3)=−9+18=9y = -(3)^2 + 6(3) = -9 + 18 = 9.

Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

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Set 19: Quadratic Equations and Functions 19