The parabola given by the equation has its vertex at for:

Example1

Find the vertex of the parabola given by the equation: f(x)=x^2-4x+7

Solution:

-b/2a=-(-4)/2(1), or 2

f(2)=2^2-4(2)+7,or 3

the vertex of the parabola is (2,3)

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