If the point (5,6) is on the graph of function g(x), what point *must* be on the graph of y = -0.5 g(x-3)+2

Answer 1

g(5) = 6, y=g(x), 6=g(5)

the graph y=-0.5g(x-3)+2 has shifted g(x) up by 2 and right by 3

(5,6) on g(x) means (5+3,6+2) = (8,8) is on the graph of y=-0.5g(x-3)+2