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.

Answer 1

at original point
x = 2
y = 1
at the new point
x = 2+3 = 5
y = 2 f(5)
(not uniquely defined.)

for example if the function were
f(x) = (1/2) x
then if x = 2 , y = 1. That is P
f(2+3) = f(5) = 2.5
2 f(5) = 5 so the image is (5,5)

but if f(x) = x-1
f(2,1) = (2,1) which is P again
but
x+3 = 5
f(5) = 4
That point is (5,4)

Answer 2

The answer is(1-,2)