Question

Find the image of the given point

under the given translation.
P(2, 5)
T(x, y) = (x-6, y + 2)
P' = ([?], [])

Answer 1

Answer:Usually you should just use these two rules:

T(x)+T(y) = T(x+y)

cT(x) = T(cx)

Where T is your transformation (in this case, the scaling matrix), x and y are two abstract column vectors, and c is a constant.

If these two rules work, then you have a linear transformation :)

Explanation: