When the transformation (x, y) + (x – 4, y + 7) is performed on point P, its image is point P'(-3,4).
What are the
coordinates of P?

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Explanation:

The transformation rule is

We have x change to x-4. This means whatever x is, we subtract 4 from it to get the new x value.

In this case, we're given the new x value is -3, so

x-4 = new x value

x-4 = -3

x-4+4 = -3+4

x = 1

Similarly, 4 is the new y value, so,

y+7 = new y value

y+7 = 4

y+7-7 = 4-7

y = -3

The preimage point is therefore P(1, -3)