Let $X$ be a continuous random-variable with probability distribution $f_X(x)$.
Let $Y=g(X)$, where $g(\cdot)$ is some transformation and we also know $f_Y(y)$.
Question How the probability distribution be affected if transformation is translated. i-e
If $Z=g(X-c)$ and we already know $f_Y(y)$ then how $f_Z(z)$ be defined in terms of $f_Y(y)$?