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Vertex in Quadratics

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This video is for the redesigned SAT which is for you if you are taking the SAT in March 2016 and beyond.

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Passport to Advanced Math

The graph of y =(2x - 4)(x - 4) is a parabola in the xy-plane. In which of the following equivalent equations do the x- and y-coordinates of the vertex of the parabola appear as constants or coefficients?

A) y = 2x2 - 12x + 16
B) y = 2x(x - 6) + 16
C) y = 2(x - 3)2 + (-2)
D) y = (x - 2)(2x - 8)

If you know the vertex form of an equation y = a(x - h)2 + k then you will notice that only answer C is in that form.

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