Shifting and scaling: Starting with the grap?h ?of f ? ?? ) = ?x2, sketch the graph of the following functions. Use a graphing calculator only to check your work. ? ? a. ?f(x ? + 3) ? ? b. 2f? (? ? 4) ? ? c. ?f? (3?x) ? ? d. f? (2(? ? 3))

Step-by-step solution 14RE Step 1 To solve the problem, we first graph the function f(x) = x which is the basis for all the graphs of f(x + 3), 2f(x 4), f(3x), and f(2(x 3)). With this, the 2 graph of f(x) = x is shown below.