Hello all. I have two problems here that I am not sure how to answer. Both involve finding formulas for families of functions. Here are the problems:

Find a formula for the following functions:

- A function of the form y= at +b/t with a local minimum (3,12) and a local maximum at (-3,-12).

-A function of the form y= be^(-(x-a)^2)/2) with its maximum at the point (0,3).

I think the second problem is meant to be a variant of the bell-shaped curve (y= e^(-(x-a)^2)/b)If anyone can answer these problems, I would be very grateful!