Discriminant formula
b^2 - 4ac
how to find vertex
1) Find x-coordinate of vertex w/ -b/2a
2) plug that into original equation to find y at that value
distance formula from (x₁, y₁) to (x₂, y₂)
√(x₂ - x₁)² + (y₂ - y₁)²
midpoint formula from (x₁, y₁) to (x₂, y₂)
{ (x₁ + x₂)/2, (y₁ + y₂)/2 }