The function f (x) is shown graphed on the grid below. The function g(x) is defined by g(x)=1/2f(x).

(a) Using the definition of g (x), determine the value of g (5).

(b) Show where each of the four plotted points on f (x) get mapped to when transformed into the graph of g (x)

(c) Draw a graph of g (x) on the same grid.