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The vertex of a parabola is found by using the solution of the equation -b/2a and putting it into the quadratic equation. a is the coefficient of x^2. b is the coefficient of the other x in the equation.

Ex.

y=2x^2+2x+1

-b/2a = -2/2(2) = -1/2

Now put -1/2 in the place of every x in the equation.

y=2(-1/2)^2+2(-1/2)+1

The vertex is (-1/2, 1/2)

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Q: Vertex of a parabola
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0,0