# How do you write this equation into the vertex form #f(x) = x^2+4x+6#?

##### 1 Answer

Jun 12, 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)|)))#

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

#"is a multiplier"#

#"to obtain this form "color(blue)"complete the square"#

#f(x)=x^2+4x color(red)(+4)color(red)(-4)+6#

#color(white)(f(x))=(x+2)^2+2larrcolor(blue)"in vertex form"#