PARTI The goal for Part II is to use the basic function /(*)- to create two new functions () and "(*) by performing a series of transformations. At each step you will write the new function in terms of / (x) , and you will sketch the resulting transformation. 1. Creating 8(x) : a. Sketch the graph of /(x) - 3' b. Shift the graph of / to the right by 1 unit. Write a new function, 8(x), in terms of (*), and sketch the resulting function on the same grid as a.) C. Stretch vertically your result from b) by a factor of ". Write the new function, g(x), in terms of /(*), and sketch the resulting transformation on the same grid as a.) d. Reflect the result from c) across the x-axis. Write the new function, 8(*), in terms of (*), and sketch the resulting transformation on the same grid as a). e. You now have an equation for 8()in terms of /(*). Write an equation for the function 8(*) in terms of x. 2. Creating /7(.x) : a. Sketch the graph of / (x) - 3" b. Shift the graph of to the left by 3 units. Write a new function, "), in terms of /(*), and sketch the resulting transformation on the same grid as a) C. Compress vertically the result from b. by a factor of 9 . Write the new function, h(x ) in terms of / (*), and sketch the resulting transformation on the same grid as a) d. Reflect the result from c. across the x-axis. Write the new function, "(*), in terms of (), and sketch the resulting transformation on the same grid as a) e. You now have an equation for "(*) in terms of / (*) . Write an equation for the function h(x) in terms of x