1. In 2005, some data was taken on the number of women in certain age groups - who gave birth. Age of Women Number of women per 1000 who gave birth 22 27 32 32 102 116 96 96 (a) Determine f(x)=a(x-h)+k, so that models this data. (NOT ax² + bx+c) (Use trial and error, and find values of a, h, and k to the tenths place to guarantee that your graph comes close enough to "go through" all 3 points on the table when on "ZOOM STAT" [as boxes in the TI-83/84].) . (b) Estimate the number of women per 1000 who give birth at age 35 according to your model. (c) Where does it look like f(x)=0? (You will likely need to expand your window, especially since you used "ZoomStat".)