the graph of curve y=f(x) has point P(2,1) lies on the curve.

Question

On the graph y=2f(x+3) label the image of the point P, giving its coordinates.

The answer is (-1,2)

Answer 1

you need x+3 = 2, so x = -1
Then 2f(x+3) = 2f(2) = 2*1 = 2

I think the question is poorly worded, since 2f(x+3) = 2f(5) but we do not know f(5). So we need to shift x so that we can evaluate f(2), the only value we know.