16Hit1600
Advanced MathVery hardMinimum of a quadratic from its standard form

Advanced Math practice question

The function g is defined by g(x) = 2x² − 12x + 10. What is the minimum value of g(x)?

Answer: -8

The vertex is at x = 12/4 = 3, and g(3) = 18 − 36 + 10 = −8.

Common wrong answers

If you answered 3
3 is the x-coordinate of the vertex.
If you answered 10
10 is g(0), not the minimum.
If you answered -26
−26 comes from 2(9) − 36 − 10, a sign slip.

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