What is the vertex form of #y= x(x - 7) #?

1 Answer
Alan P.
Mar 14, 2016

#y=1(x-7/2)^2+(-49/4)#

Explanation:

The general vertex form is
#color(white)("XXX")y=color(green)(m)(x-color(red)(a))^2+color(blue)(b)# with vertex at #(color(red)(a),color(blue)(b))#

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

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

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

#color(white)("XXX")y=(x-7/2)^2-49/4#

#color(white)("XXX")y=color(green)(1)(x-color(red)(7/2))^2+(color(blue)(-49/4))#

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