What is the vertex and focus of the parabola described by #x^2-4x+y+3=0#?

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What is the vertex and focus of the parabola described by #x^2-4x+y+3=0#?

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Answer 1 · 2017-05-12T20:20:38

#x^2-4x+y+3=0#
#" "#
#y=-x^2+4x-3#
#" "#
#y=-(x^2-4x+3)#
#" "#
#y=-(x^2-4x+3+1-1)#
#" "#
#y=-(x^2-4x+4-1)#
#" "#
#y=-(x^2-4x+4)+1#
#" "#
#y=-(x-2)^2+1#
#" "#
The vertex of the parabola is #(2,1)#
#" "#
The focus of thus parabola is #-1/4#

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What is the vertex and focus of the parabola described by #x^2-4x+y+3=0#?

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