Question

write in the standard form of a hyperbola 9x^2 -3y^2 = 48y +192

Answer 1

First step! divide through by the largest coefficient on either x or y.
We need those out of the way :O

What does your equation look like now? :)

Answer 2

I'm lost ;/

Answer 3

\[\frac{ 3x ^{2} }{ 16 } - \frac{ \left( y+4 \right) ^{2}}{ 48 } = 1\]