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A parabola
You can find the peak of this parabola by taking it's derivative and finding the point where it's slope is equal to zero:
y = 3x2 + x - 2
y' = 6x + 1
Let y' = 0
0 = 6x + 1
x = -1/6
Now find the y co-ordinate:
y = 3(-1/6)2 + (-1/6) - 2
y = 3/18 - 1/6 - 2
y = -2
So this parabola's vertex will be located at the point (-1/6, -2).
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