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Does the parabola y = -3x^2 + 2x - 1 have a maximum or minimum value?

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(1) Find out if it has a Stationary Point.

Take the derivative of y.
Solve for x when the derivative is 0.

(2) If it does, determine their status as maxima, minima, or inflection(s).

Inspect the values of the curve slightly before and after the point(s).
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