Question 474069
2x+y^2-6y-12=0 graph the equation
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complete the square
(y^2-6y+9)-12-9+2x=0
(y-3)^2+2x-21=0
(y-3)^2=-2x+21
take sqrt of both sides
y-3=±√(-2x+21)
y=±√(-2x+21)+3
see graph below
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{{{ graph( 300, 300, -6, 18, -6, 18, (-2x+21)^.5+3,-(-2x+21)^.5+3) }}}