The graph of the function g(x) contains the point (5, 1/3). What point must be on the graph of y=3g(x+3)?

Answer 1

The leading 3 multiplies the y-coordinate by 3. The x+3 term subtracts 3 from the x-coordinate

Thus, we move (5, 1/3) to (5-3, 1/3*3) = (2, 1)