Question

origin shifted to the point (1,2) without changing the direction of the axes then (4,3) is transformed to

Answer 1

$(h,k)=(1,2)\\(x,y)=(4,3)\\\\Therefore,\\(X,Y)=(x-h,y-k)\\=(4-1,3-2)\\=(3,1)$

Answer 2

Given : The origin shifted to the point (1,2) without changing the direction.

To find : The transformed coordinates of the point (4,2)

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to determine the required coordinates)

Let,

The coordinates of a point (say, point P) when the origin is (0,0) = (x,y)

And, the coordinates of the shifted origin = (a,b)

So, the transformed coordinates of the previously mentioned point P will be :

= [(x-a),(y-b)]

Similarly,

The transformed coordinates of the given point will be :

= [(4-1),(3-2)]

= (3,1)

(This will be considered as the final result.)

Hence, (4,3) is transformed to (3,1)