Question

If origin is shifted to $(1,2)$, then old Co-ordinate of $(-5,-3)$.

Answer 1

The transformation relation between new co-ordinates $(x,y)$ and old co-ordinates $(x,y)$ are given

by $x=x+h$

$y=y+k$

So, $h=x-x$ & $k=y-y$

So, For $(0,0)$ to $(1,2)$ sifting, we get

$h=0-1=-1$ & $k=0-2=-2$

So, For old co-ordinates of $(-5,-3)$

$x=x+h=-5-1=-6$

$y=y+k=-3-2=-5$

So, the old co-ordinates of point $(-5,-3)$ is $(-6,-5)$