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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