Can someone please help me with and explain this?

Answer:
A
Step-by-step explanation:
Point R is (1, 5).
The transformation (x + 1, y - 1) denotes a translation of one unit to the right and one unit downwards.
Simply add one to the x-coordinate and subtract one to the y-coordinate of R. Hence:
[tex]R'=((1)+1, (5) -1)=(2, 4)[/tex]
Next, we want to dilate RUST by a scale factor of three. Since the dilation is centered on the origin, we can simply multiply each coordinate by three. This yields:
[tex]R'=(3(2), 3(4))=(6, 12)[/tex]
Our answer is A.