If I Could Only Hear That Transformation* Consider the function y = f(x) where f(1) = 3, f(2) = 5, f(3) = 2, f(4) = 4, f(5) = 3, f(6) = 0, and f(7) = 1. Plot the ordered pairs (x, f(x)) for x = 1, 2, 3, . . . , 7 on the grid on the next page. The graph of y = f(x) can be obtained by connecting consecutive ordered pairs with straight line segments. Now graph each of the following functions on the same grid in a different color. Be sure to label each of your graphs. (A) y = f(x) +2 (B) y = 2f(x) (C) y = 2f(x) + 4 (D) y = - f(x) As we listen to these transformations, fill in the table below: Transformation Observation in terms of graph and melody y = f(x)+2 y = 2f(x) y = 2f(x)+4 y = - f(x) *Functional Melodies; Finding Mathematical Relationships in Music by Scott Beall. Key Curriculum Press Copyright 2000.