# 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.