16Hit1600
Advanced MathVery hardMinimum from three symmetric points

Advanced Math practice question

In the xy-plane, the graph of a quadratic function passes through (0, 9), (2, 5), and (4, 9). What is the minimum value of the function?

Answer: 5

Equal outputs at x = 0 and x = 4 put the axis of symmetry at x = 2, so the vertex is (2, 5) and the minimum is 5.

Common wrong answers

If you answered 0
0 is not reached; the vertex is at y = 5.
If you answered 2
2 is the x-coordinate of the vertex.
If you answered 9
9 is the value at the two outer points.

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