16Hit1600
Advanced MathVery hardQuadratic from its zeros and its peak

Advanced Math practice question

The quadratic function f has zeros at x = 0 and x = 6, and f(3) = 18. What is the value of f(1)?

Answer: 10

f(x) = a·x(x − 6). From f(3) = 18: −9a = 18, so a = −2, and f(1) = −2(1)(−5) = 10.

Common wrong answers

If you answered 5
5 uses a = −1 without checking f(3).
If you answered 18
18 is f(3), not f(1).
If you answered -10
−10 uses a = 2, giving a minimum rather than the stated peak.

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