0
You can find that by taking it's derivative and solving for zero. That will give you the x coordinate of the vertex, which you can then plug back in to find the y coordinate
y= x2 + x - 12
dy/dx = 2x + 1
Let dy/dx = 0:
0 = 2x + 1
x = -1/2
So:
y = (-1/2)2 - 1/2 - 12
= 1/4 - 2/4 - 48/4
= -49/4
So the vertex lies at the point (-1/2, -49/4)
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