We will have the following:
The function y = 1.5sin(4x) is related with its mother function y = sin(x). The former is a transformation of its mother function, where the former has an amplitude 1.5 times greater and the period is shorter.
The graphs will be the following:
The first function given compared to the first is vertically stretched by a factor of 1.5 and horizontally compressed by a factor of 4.