The graph of f(x)=sin(x) is transformed into a new function, g(x) , by compressing it vertically by a factor of 1/2 and shifting it 3 units down.

Question

What is the equation of the new function g(x) ?

Answer 1

compress by 1/2: g = 1/2 sin(x)
shift down 3: g = 1/2 sin(x)-3

g(x) = 1/2 f(x) - 3