What is the vertex form of #y=x^2-5x-13#?

1 Answer
Jun 17, 2018

#y=(x-5/2)^2-77/4#

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^2+2(-5/2)x color(red)(+25/4)color(red)(-25/4)-13#

#color(white)(y)=(x-5/2)^2-77/4larrcolor(red)"in vertex form"#