How do you find all the critical points to graph #4x^2-9y^2=36# including vertices, foci and asymptotes?
1 Answer
Vertices
Focii
Asymptotes equations:
Explanation:
The equation
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,
we have
and center
Center
Vertices at
and
Focii at
and
The equations of the asymptotes are given by the following formulas
therefore,
we have
Kindly see the graphs of the hyperbola
God bless... I hope the explanation is useful.