1. For the function f(x) = sinx, sketch the graph of the original and transformed function and state the key features of the transformed function. a) y = f(x - 30) - 1 b) y = -2f(x) +4 c) y = -2f(-(x +60)) - 3 d) y = 3sin ((x - 90))2. The graph of x) = sins: is transformed by a vertical reection, then a horizontal compression by a factor of 2, then a phase shift 30 degrees to the right, and nally a vertical translation of 5 units up. a) What is the equation of the transformed function? b) What are the key features of the transformed function? 3. Describe the transformations from x) = aim (the red graph) that could generate gz) (the blue graph) below