Write an equation that represents the transformations formed by the following items:


(a) horizontally shifting the graph 4 units to the left of f(x) = √x and then vertically compression by a factor of 1/3

(b) vertically stretching the graph by a factor of 4 of f(x) = √x and then vertically shifting the graph 3 units up

(c) horizontally stretching the graph of f(x) = √x by a factor of 2 and then vertically shifting the graph 6 units down