A company first started recording their profit making in december 2007, before the financial crisis. They recorded it quarterly for 2 years. It is recorded in 1000's dollars.

P(t) = t^2-9t+14

(x intercepts: 2 and 7)

(y intercept: 14)

(vertex: 4.5, -6.25)

Questions:

1) When the company recorded its lowest profit, what quarter did this happen in?

2) when did there profit first start to rise?

3) Find P(t) when t=0

4) When did the profit reach 20 000 dollars?

5)calculate k if the company made no loss.

P(t) = t^2-9t+14+k