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When the quadratic is written in the form:

y = ax2 + bx + c then

if a > 0 y has a minimum

if a < 0 y has a maximum

and if a = 0 y is not a quadratic but y = bx + c, and it is linear.

The maximum or minimum is at x = -b/(2a)

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Q: How do you know if a quadratic has a minimum or maximum value?
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