How do you find all the critical points to graph #4x^2-9y^2=36# including vertices, foci and asymptotes?
The standard form of the equation of a hyperbola is
For the given
We divide both sides of the equation by
it follows that
and by inspection and by comparing to the form above,
The equations of the asymptotes are given by the following formulas
Kindly see the graphs of the hyperbola
God bless... I hope the explanation is useful.