Find the equation of a sine wave that is obtained by shifting the graph of y=sin(x) to the right 6 units and downward 3 units and is vertically stretched by a factor of 8 when compared to y=sin(x)

Time to review and study the consequences of transformations.

This one is very straighforward:
y = sin(x) ----your transformation----> y =8sin(x-6) - 3