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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?

When the transformation (x, y) + (x – 4, y + 7) is performed on point P, its image-example-1

1 Answer

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Answer: Choice C. P(1, -3)

=========================================================

Step-by-step explanation:

The transformation rule is
(x,y) \to (x-4, y+7)

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)

User Krishna Mohan
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