Advanced MathVery hardMaximum from two zeros and a stretch
Advanced Math practice question
The quadratic function f has zeros at x = 1 and x = 7, and its graph passes through (4, 9). What is the maximum value of f?
Answer: 9
The vertex lies midway between the zeros, at x = 4, so the maximum value is f(4) = 9.
Common wrong answers
- If you answered 4
- 4 is the x-coordinate of the vertex.
- If you answered 7
- 7 is a zero.
- If you answered -9
- −9 has the sign wrong; the graph opens downward from a positive vertex.
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