1) Create a quadratic function, f(x), in vertex form. The a should be between 4 and –4, the h will be your birth month, and the k will be your birth day. Write your equation below. 2) Using complete sentences, explain how to convert your birthday function into standard form. 3) Create two additional quadratic functions, g(x) and h(x). A. The function g(x) will open the same direction as f(x), have the same vertex, but will be narrower. B. The function h(x) will open in the opposite direction as f(x), have the same vertex, but will be wider than f(x). Write your functions below and explain in complete sentences why those functions will meet the requirements in the question. 4) Graph your functions. Include your graph below. 5) Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. 6) Explain the appropriate translations of your graphs, if you were born two months earlier and 5 days later. Use complete sentences.