Answer: Choice C. P(1, -3)
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Explanation:
The transformation rule is [tex](x,y) \to (x-4, y+7)[/tex]
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)
