# What is the vertex form of #y= x^2 -2x - 15#?

##### 1 Answer

Jul 5, 2018

#### Explanation:

#"the equation of a parabola in "color(blue)"vertex form"# is.

#•color(white)(x)y=a(x-h)^2+k#

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

#"is a multiplier"#

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

#y=x^2+2(-1)x color(red)(+1)color(red)(-1)-15#

#y=(x-1)^2-16larrcolor(red)"in vertex form"#