Calculus
Horizontal stretch by a factor of 3, left shift by 2 units and vertical stretch by a factor of 4.
Horizontal stretch by a factor of 3, right shift by 2 units and vertical stretch by a factor of 4.
Horizontal compress by a factor of 13\frac13, left shift by 2 units and vertical stretch by a factor of 4.
Horizontal compress by a factor of 13\frac13, right shift by 2 units and vertical stretch by a factor of 4.