You can put this solution on YOUR website! is 3y^2-8y-8x^2-2x-4=0 a hyperbola?
3y^2-8y-8x^2-2x-4=0
complete the square:
3(y^2-(8/3)y+(64/36))-8(x^2+(1/4)x+(1/64)=4+64/12-1/8=6/24+128/24-3/24=131/24
3(y-(8/6))^2-8(x-(1/8))^2=131/24
This is an equation of a hyperbola with vertical transverse axis:
Its standard form of equation:
(