Question: Find formulas for the functions.
1. A cubic polynomial with a local maximum at x = 1, a local minimum at x = 3, a y-intercept of 5, and an x3 term whose coefficient is 1.
2. A quartic polynomial whose graph is symmetric about the y-axis and has local maxima at (-1, 4) and (1, 4) and a y-intercept of 3.