Advanced MathHardMaximum of a quadratic from f(0)
Advanced Math practice question
The function f is defined by f(x) = −x² + 6x + c, where c is a constant, and f(0) = 5. What is the maximum value of f?
Answer: 14
c = 5; the vertex is at x = 3, and f(3) = −9 + 18 + 5 = 14.
Common wrong answers
- If you answered 3
- 3 is the x-coordinate of the vertex.
- If you answered 5
- 5 is f(0).
- If you answered 9
- 9 is the maximum of −x² + 6x without the constant.
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