# Intersection of Two Parabolas

- Author:
- Brian Sterr

- Topic:
- Intersection, Parabola

To see how many ways we can intersect two parabolas, try adjusting the red parabola above to see how many times it can meet the blue parabola.
Drag the vertex and the focus around to change the location and shape of the red parabola.

What is the maximum number of points of intersection? (Assuming the parabolas are distinct and have parallel axes of symmetry)