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

##### 1 Answer

Jun 20, 2018

#### 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"#