the graph of f(X)=sin(x) is transformed to a new function g(x) by straching it vertically by a factor of 2 and shifting it 3 units up. What is the equation of the new function g(x)?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters