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6. What translation rule can be used to describe the result of the composition of (x, y)--> (x - 6, y - 7) and (x, y) --> (x + 2, y - 4)?
1 point
(x , y) --> (x - 13, y - 2)
(x, y) --> (x - 4, y - 11)
(x, y) --> (x - 8, x - 3)
(x, y) --> (x - 10, y - 5)

Respuesta :

highwireact
Regardless of order, applying our first transformation and then the second brings us to the same place. Let’s take a look at both cases to see this at work:

If we apply the first transformation and then the second, we obtain the transformation (x, y) —> (x - 6 + 2, y - 7 - 4), or (x - 4, y - 11)

Applying the second and then the first, we obtain (x, y) —> (x + 2 - 6, y - 4 - 7), which again gives us (x - 4, y - 11).

So, the composition of our two transformations gives us (x, y) —> (x - 4, y - 11)
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