AA bring home Seatwork

1. Find the maximum value of the function y=x^2 + bx + c if it passes through (2, 0) and the axis is x=1.
2. The vertex of a parabola is at (1, -5) and the point (0, 3) is on it. Find an equation of the quadratic function.
3. The points (0, -2) and (3, -2) are on the graph of a parabola. If the range of the function is y>= -31/4, find the equation of the function.
4. The points (1, 0) and (-4, 20/9) are on the graph of a parabola and the maximum value of the function is 4, find the equation of the parabola.