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Sagot :
The image of the point after the transformation is (2,-3)
Here, we want to get the image of the point after translation, followed by rotation
When we translate, we move some units up and below the axes
With the given relation, we are going to move 1 units vertically, and 2 units horizontally
This means that we are to add 1 to the vertical axis and 2 to the horizontal axis
We have this as;
[tex](4-1,\text{ 0+2) = (3,2)}[/tex]what is left is the rotation by 90 degrees
Given the pre-image (x,y); after 90 degrees clockwise rotation, we are going to have the coordinates as (y,-x)
Thus, what we have after rotation is (2,-3)
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