What is the vertex form of y = x(x-5)+13 ?

1 Answer
Jim G.
Apr 30, 2018

y=(x-5/2)^2+27/4

Explanation:

"the equation of a parabola in "color(blue)"vertex form" is.

color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))

"where "(h,k)" are the coordinates of the vertex and a"
"is a multiplier"

"to obtain this form use "color(blue)"completing the square"

y=x(x-5)+13=x^2-5x+13

y=x^2+2(-5/2)x+25/4-25/4+13

color(white)(y)=(x-5/2)^2+27/4larrcolor(red)"in vertex form"

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