Hello, I need some help with 2 quadratics problems:

1. Let f, g be distinct quadratics. In how many places can f and g intersect? Give examples of each case. Is anything else possible? Why?

2. So far we have been finding the vertex of a quadratic f by evaluating h = -b over 2aand k = f(h); find a formula for k in terms of a, b, c.

Thank you *SO* much for anyones help in advance...