What is the vertex form of #y=-x^2+4x+4#?

1 Answer
Jul 24, 2018

#y=-(x-2)^2+8#

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^2-4x-4)#

#color(white)(y)=-(x^2+2(-2)x+4-4-4)#

#color(white)(y)=-(x-2)^2+8larrcolor(red)"in vertex form"#