# How do I rotate the axes of and then graph #y^2-6x^2-4x+2y=0#?

##### 1 Answer

Mar 25, 2016

It is explained below.

#### Explanation:

In the 2nd degree equation

if AC<0, the it represents a hyperbola. In the present case it is indeed so as AC=-6 which is < 0.

The equation can be rewritten as

Or,

Or,

Or,

Or,

Or

Which clearly shows it is a hyperbola. Now if the angle of rotation of axes is