Algebra-2

The transformation of the parent function to involves the following:

1. Vertical Stretch: The factor of 3 in front of the sine function, , indicates a vertical stretch. This means that the amplitude of the function is multiplied by 3, causing the graph to become more stretched vertically. The amplitude of the original function is 1, and after the stretch, it becomes 3.

2. Vertical Translation: The -2 at the end of the function, , represents a vertical translation. This means that the entire graph is shifted downward by 2 units. The negative sign indicates a downward shift.

In summary, the transformation