What is the vertex of # y= -x^2 + 2x - 7 #?

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Answer 1 · 2017-03-31T21:54:54

#"Vertex :"(1,-6)#

#"given function "y=-x^2+2x-7#

#"derivate the function y with respect to x and make equal to zero."#

#(d y)/(d x) =0#

#d/(d x)(-x^2+2x-7)=0#

#-2x+2=0#

#-2x=-2#

#x=2/2#

#x=1#

#"plug x=1 in the function " y=-x^2+2x-7 #

#y=-1^2+2*1-7#

#y=-1+2-7#

#y=-6#