Use the following worksheet to identify the effects on the graph of [i]f(x)[/i], when [i]f(x)[/i] is replaced with [i]f(x + c)[/i], [i]f(x) + c[/i], [i]cf(x)[/i], and [i]f(cx)[/i] for specific values of [i]c[/i] (both positive and negative). Input any function for [i]f(x)[/i] and experiment with the different cases below.
Describe the following using the language of transformations: 1) How can you obtain the graph of [i]f(x + c)[/i] from the graph of [i]f(x)[/i]? 2) How can you obtain the graph of [i]f(x) + c[/i] from the graph of [i]f(x)[/i]? 3) How can you obtain the graph of from the graph of [i]f(x)[/i]? 4) How can you obtain the graph of from the graph of [i]f(x)[/i]?