Hi I'm up to the last part of the long homework we have to do. If i complete this as well I will be able to pass everything at school.

Modelling Water In A Reservoir

In the year 2001/2002 measurements taken of the volume of water in the Delmaine reservoir ('00 Megalitres) varied with time thus:

t (# months after October 1'st).:1 l 3 l 4 7
V (100's ML)..........................:7 l 6 l 5 l3

The minimum volume was found to be at t = 7

a. Find a quadratic equation of the form y = a(x-h)*squared* + K that approximately fits the data explaining carefully how you obtained the values of a, h and k.

b. Sketch the graph of the function you have obtained in part (a), over the domain [0,12].

c. According to this model, what will be the volume of water 9 months after October 1'st?


It was a long day and I need sleep, please help me out here, I really need answers to these, Thank you.