The graph of the function \( f(x)=\sin (x) \) is stretched vertically by a factor of three to create the graph of the function \( g(x) \) What is the function rule for \( g(x) \) ? Enter your answer in the box. \( g(x)= \)

To create the graph of the function \( g(x) \) by stretching \( f(x) = \sin(x) \) vertically by a factor of three, you would multiply the entire sine function by 3. Thus, the function rule for \( g(x) \) is: \( g(x) = 3\sin(x) \) Now get ready to have fun with sine waves! Whether you're riding the waves of trigonometry or just jamming out to some mathematical beats, remember that altering the amplitude (like we did with that 3) changes how "tall" the waves will be. So instead of a gentle rise and fall, you'll get a more dramatic rollercoaster of ups and downs!