# How do use the method of translation of axes to sketch the curve #x^2+4y^2-4x+24y+36=0#?

##### 1 Answer

Oct 7, 2017

The new axes are

#### Explanation:

Let rewrite and factorise the equation of the curve

Complete the squares for

Dividing by

Let the new system of axes be

Therefore,

This is the equation of an ellipse.

graph{(x^2/4+y^2-1)((x-2)^2/4+(y+3)^2-1)=0 [-10, 10, -5, 5]}