If a point A35 is on the graph of a function f how do I find

If a point A(-3,5) is on the graph of a function f, how do I find the corresponding point of the given function y = 2f(x +3) - 5?

Solution

If a point A(-3,5) is on the graph of a function f,

the corresponding point of the given function y = 2f(x +3) - 5

so point is (x,y) = (-3,5)

so y = 5 and x=-3

plug values in y = 2f(x +3) - 5

5 =2f(-3+3) -5

5+5 = 2f(0)

10 = 2f(0)

f(0) =5

the correspoding point is (5,5)