Question

The graph of y=f(x) is shown below. Graph y=f(1/2x)

Answer 1

The graph of f(1/2x) is a horizontal expansion of the graph of f(x) by a factor of 2. The mapping rule is (x, y) -> (2x, y)
                               (-4,2) -> (-8,2)
                               (-2,-2) -> (-4,-2)
                               (0,0) -> (0,0)
Plot those points to get the graph of f(1/2x).