What happens when a hyperbola is tilted and we have to find its standard equation?
For example, take the conversion in this image when the hyperbola converted from the first form to the next form. my guess for the conditions of the conversion were
- both the lines(in the bracket) had to be perpendicular to each other
- it had to be like a unit vector. but I don't get why the second equation had root3 instead of root2
Are my guesses correct? If so can you tell me the values of a nd b for the above equation?