How do you write f(x)=x^2-6x+25 in vertex form?

1 Answer
Jim G.
Jun 20, 2018

f(x)=(x-3)^2+16

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)|)))

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

f(x)=x^2+2(-3)x color(red)(+9)color(red)(-9)+25

color(white)(f(x))=(x-3)^2+16larrcolor(red)"in vertex form"

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