Build a polynomial that: has an -intercept at x = 500. rises to a maximum, falls as it crosses the x-axis, and then rises into x = 1000

This is what i found “an explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). it defines the sequence as a formula in terms of n. this example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).” i hope this you for what your looking for. can you plz mark me brainliest?