Advanced MathHardValue at zero from a known minimum
Advanced Math practice question
The function f is defined by f(x) = (x − 2)² + k, where k is a constant, and the minimum value of f is 5. What is the value of f(0)?
Answer: 9
The minimum of (x − 2)² + k is k, so k = 5 and f(0) = 4 + 5 = 9.
Common wrong answers
- If you answered 1
- 1 subtracts 4 from 5.
- If you answered 4
- 4 forgets k.
- If you answered 5
- 5 is the minimum, not f(0).
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