Answer:
An exponential function has the form y = ab^x, where a is the initial value, b is the base of the exponential function (in this case, 1 + the growth rate as a decimal) and x is the number of years.
Given that the initial population is 430 and the annual rate of increase is 9%, we can write the exponential function as:
y = 430 (1 + 0.09)^x
Where y is the quail population after x years, and the base (1 + 0.09) represents the growth rate of 9%. This function gives the population of the quail for any number of years x.
It's worth noting that the function is in the form of y = a*(1+r)^x where a is the initial value, r is the annual growth rate, and x is the number of years