Function transformations

The graph of [i]f[/i]([i]x[/i]) is black. Change the values of [i]h[/i] and [i]k[/i] so that [i]g[/i]([i]x[/i]) is the function whose graph is shown in red. The graph of [i]g[/i]([i]x[/i]) is blue and is dotted, so that when [i]g[/i]([i]x[/i]) is the target function, the graph will appear purple. Repeat this exercise with other transformations of the graph of [i]f[/i]([i]x[/i]).