When we transform the function f(x) by multiplying it by 1/2, we are effectively compressing the graph vertically. This means that every y-value of the function f(x) will now be halved.
For example, if f(x) has a point at (a, b), then the transformed function y = (1/2)f(x) will have a corresponding point at (a, b/2). As a result, the entire graph of f(x) will look flatter and closer to the x-axis. Features of the graph such as intercepts will remain in the same place along the x-axis, while any peaks or valleys will be half their original height.
In summary, to graph y = (1/2)f(x), simply take the original graph of y = f(x) and