Effect on curve due to shifting origin|Linear transformation|Shifting origin to some other point|

In this lecture a special type of linear transformation has been explained. First of all I have explained what is effect of shifting of origin on a given point P(x, y). I have explained this concept by following example:
Find the new coordinates of the point (3, 5)when the origin is shifted to the point (2, 4).
Also, What is effect of shifting of origin to any curve. I have explained this concept by taking the following example.
I have explained this concept by following example:
If equation of a curve with respect to origin is f(x,y)=ax+bx, what is the transformed equation of this curve when origin is shifted to point (2,4)?
If you have been given an equation i.e. equation with respect to origin, and you have been asked to find the transformed equation i.e. an equation with respect to shifted origin, then you can easily find the transformed equation by s replacing X by x-h and Y by y-k, where (h,k) are coordinates of new origin.
If you have been given the transformed equation i.e. equation with respect to new origin, then also, you can easily find the original equation with respect to origin by simply replacing X by x-h and Y by y-k, where (h,k) are coordinates of new origin.

#shifting_Origin, #Cartesian_System,

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