The function () contains the point (4, 10). Show all calculations steps and state the image (the new location) of point under each of the following general transformations: a. = ( + 2) 3 b. 1 = 2( 4) c. 1 3 = (2) d. 2 = +2 3

4. The function f(x) contains the point PG}, 10). Show all calculations steps and state the image (the new location) of point P under each of the following general transformations: a. y=f(x+2)3 b. y1=2f(x4) c. %y : f(2x) d. 232 = f(xT+2) 5. Explain graphically and algebraically why the following two transformations are different. y=3fo1)+5 and y=3fer1))+5 6. For the following transformations applied to the graph ofy = f(x), describe the transformation in terms of the function and in terms of its effect on the graph. a. Replace x with x 3 and y with 3y. Function: Graph: b. Replace x withx and y with 2y. Function: Graph: c. Replace, in the following order: x with 7 ix, x with x + 1, and y with By. Function: Graph