AIDS Cases from 1993 to 2003 The cumulative number N of AIDS cases in thousands ...

AIDS Cases from 1993 to 2003 

The cumulative number N of AIDS cases in thousands can be approximated by N= -2xsquared + 76x + 430, where x = 0 corresponds to the year 1993. year = 1993 cases = 422, year = 1995 cases = 565, year= 1997 cases = 677, year = 1999 cases = 762, year = 2001 cases = 844, year = 2003 cases = 930. 

(a) Use the equation to find N for each year in the table.
(b) Discuss how well this equation approximates the data.
(c) Rewrite the equation with the right side completely factored.
(d) Use your equation from part (c) to find N for each year in the table. Do your answers agree with those found in
part (a)?