1. Transformations: a. Explain how each transformation below would alter the graph of f(x). (4 points) fix+2) flx) +2 b. Use the f(x) given below to determine the transformed functions. (3 points each) Given: f(x) = 3x + 1, rewrite this function as a new function following the transformations below. flx+2)= flx)+2= c. Include a graph of each function on the same grid. Here is a link to a graphing grid. (5 points) d. Find -f(x) for f(x} = 2x - 5. (3 points) 2a. A swimming pool is being drained at a constant rate of 3 inches (depth of the water) per hour. The depth of the water after 5 hours is 32 inches. Write the equation for this function in point slope form. (3 points) 2b. Graph your function to find how long it will take to empty the pool completely. (5 points) 3. What is the new function resulting from applying a horizontal shrink by 1/3 to f(x) = |x - 1| + 37 (4 points)