Question

Given Point A, what is the coordinate for A' after the following transformation has occurred?(x, y) + (x – 5, -y + 2)A (5, 7)

Answer 1

So we have the point A=(5,7) and the following transformation:

$(x,y)\rightarrow(x-5,-y+2)$

Transformations take a point as input and return another point that usually is different than the one used as input. Since our input is (5,7) then we just need to replace 5 and 7 in place of x and y on the transformation:

$\begin{gathered} A^{\prime}=(x-5,-y+2)=(5-5,-7+2)=(0,-5) \\ A^{\prime}=(0,-5) \end{gathered}$

Then, the point we are looking for is A'=(0,-5).