Question

The two functions below are used to represent the height of a rocket above the ground after it is launched. Which rocket reaches a greater distance above the ground at its maximum height? Rocket A: y = -6x 2 + 96x Rocket B: y = -4x 2 + 80x Rocket reaches a maximum height that is greater than the maximum height of Rocket

Answer 1

Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.

Answer 2

Rocket B reaches a maximum height that is greater than the maximum height of Rocket A.

Explanation:

A graph quickly shows the answer to this question.

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In vertex form, the equation for Rocket A is ...

y = -6(x² -16x +8²) +6(8²)

y = -6(x -8)² +384 . . . . . . . . . maximum height is 384 feet

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The corresponding equation for Rocket B is ...

y = -4(x² -20x +10²) +4(10²)

y = -4(x -10)² +400 . . . . . . . . maximum height is 400 feet

Rocket B reaches a maximum height greater than that of Rocket A.