Originally Posted by

**Andrew00830** 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?

sketch two different parabolas in various configurations ... how many ways can you make them intersect (or not)?

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.

$\displaystyle \textcolor{red}{h = \frac{-b}{2a}}$

$\displaystyle \textcolor{red}{f(x) = ax^2 + bx + c}$

find $\displaystyle \textcolor{red}{k = f\left(\frac{-b}{2a}\right)}$