Find the new coordinates of the points in each of the following cases if the origin is shifted to the point (–3, –2) by a translation of axes.(i) (1, 1)           (ii) (0, 1)            (iii) (5, 0)         (iv) (–1, –2)       (v) (3, –5)

Explanation

To find the new coordinates of the points after shifting the origin to the point (-3, -2), we will use the following transformation formulas:

- New x-coordinate (x') = Old x-coordinate (x) - h
- New y-coordinate (y') = Old y-coordinate (y) - k

Where (h, k) is the new origin, which in this case is (-3, -2).

Now, let's calculate the new coordinates for each point:
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