Vertex in Quadratics
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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)
Answer:
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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More Lessons for Passport to Advanced Math
More Lessons for SAT Math
More Resources for SAT
Algebra Tutorials
This video is for the redesigned SAT which is for you if you are taking the SAT in March 2016 and beyond.
Calculator: Not Permitted
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)
Answer:
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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