What is the vertex form of #y=x^2-9x+3#?

1 Answer
Jim G.
Apr 19, 2018

#(x-9/2)^2-69/4#

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"#

#"we can obtain this form using "color(blue)"completing the square"#

#y=x^2+2(-9/2)x+81/4-81/4+3#

#color(white)(y)=(x-9/2)^2-69/4#

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