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What is the vertex of the parabola represented by the equation y equals 2x 24x-100?
Wiki User
∙ 11y ago
Assuming you mean y=2x(24x-100)=48x2-200x
The vertex is the coordinate (p,q) when a function of a form y=ax2+bx+c is arranged into the form y=a(x-p)2+q.
Divide y by the coeifficient of the x2 term, 48. y = x2-(25/6)x
x2-ax = (x-a/2)2-a2/4.
So y = [x-(25/6)/2]2-(625/36)/4 = [x-25/12]2-625/144
y is now in the form y=a(x+p)2+q, so the vertex of 48x2-200x is (25/12, -625/144)
Wiki User
∙ 11y ago
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