Question 1191098

{{{y^2+6x+8y+1=0}}}

{{{y^2+8y=-6x-1}}}

{{{(y^2+8y+b^2)-b^2=-6x-1}}}

{{{(y^2+8y+4^2)-4^2=-6x-1}}}

{{{(y+4)^2-16=-6x-1}}}

{{{(y+4)^2=-6x-1+16}}}

{{{(y+4)^2=-6x+15}}}



answer: parabola (opens left)


{{{ graph( 600, 600, -10, 10, -10, 10,  -sqrt(3)sqrt(5-2x)-4, sqrt(3)sqrt(5-2x) - 4) }}}