Question

Transform each graph as specified below.(a) The graph of y=f(x) is shown. Draw the graph of y=2(x).(b) The graph of y=g(x) is shown. Draw the graph of y=ry=g(2x)

Answer 1

(a)

In order to graph y = 2f(x), we just need to use the values of y two times higher than the values of y = f(x), that is, a vertical stretch. So we have:

(In black: y = 2f(x), in red: y = f(x))

(b)

In order to graph y = g(2x), we just need to use half the values of x from y = g(x), that is, a horizontal compression. So we have:

(in green: y = g(2x), in blue: y = g(x))