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What is the vertex form of #y=x^2-4x-3#?

1 Answer

Dec 24, 2015

#y=(x-2)^2+(-7)# with vertex at #(2,-7)#

Explanation:

General vertex form:
#color(white)("XXX")y=(x-a)^2+b# with vertex at #(a,b)#

Given:
#color(white)("XXX")y=x^2-4x-3#
Complete the square:
#color(white)("XXX")y=x^2-4xcolor(green)(+4)-3color(green)(-4)#

#color(white)("XXX")y=(x-2)^2-7#

#color(white)("XXX")y=(x-2)^2+(-7)#

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