BABE The goal for Part 11 is to use the basic function \"I l ' 3 ' to create two new functions 54:) and M") by performing a series of transformations. At each step you will write the new function in terms of I (I) , and you will sketch the resulting transformation. 1. Creating 51"\" : 1. Sketch the graph of H") ' 3' . b. Shift the graph of f\") to the right by 1 unit. Write a new function, 8'\") , in terms of I\") , and sketch the resulting function on the same grid as a.) c. Stretch vertically your result from b) by a factor of 9 . Write the new function, 5'\") , in terms of \""3 , and sketch the resulting transformation on the same grid as a.) d. Reect the result from c) across the x-axis. Write the new function, gtx) , in terms of [(1') . and sketch the resulting transformation on the same grid as a). e. You now have an equation for 5(1) in terms of f (I ) . Write an equation for the function 3(1) in terms of x. 2. Creating M\" : 3. Sketch the graph of f\") " 3'. b. Shift the graph of I") to the left by 3 units. Write a new function, MI) , in terms of f (I) , 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, ht!) in terms of I\") , and sketch the resulting transformation on the same grid as a) d. Reflect the result from c. across the xaxis. Write the new function, M\