Advanced MathEasy–MediumReading a maximum from vertex form
Advanced Math practice question
The height h, in metres, of a ball t seconds after it is thrown is given by h(t) = −5(t − 2)² + 25. What is the greatest height the ball reaches?
- A. 25 metresCorrect
- B. 2 metres
- C. 5 metres
- D. 20 metres
Answer: A. 25 metres
−5(t − 2)² is at most 0, so h is at most 25, at t = 2.
Why the other answers are wrong
- B. 2 metres
- 2 is the time of the maximum, not the height.
- C. 5 metres
- 5 is the coefficient.
- D. 20 metres
- 20 is h(1) and h(3).
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