16Hit1600
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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