Is there any way to manipulate a sine function such that the amplitude when it is positive is larger than when it is negative?

Without using a piecewise function? I’m thinking I’m gonna need a piecewise function, but it would be so much more elegant without.

If my title wasn’t clear, basically what I’m looking for is a sine wave that has a peak at y=2 but a trough at y=-1.

This is not homework.