# Parabolas

5 videos
3 skills
You've seen parabolas already when you graphed quadratic functions. Now we will look at them from a conic perspective. In particular we will look at them as the set of all points equidistant from a point (focus) and a line (directrix). Have fun!

### How to shift and scale the basic parabola y=x^2 in order to obtain another parabola (example)

VIDEO 1:50 minutes
Sal solves an example task where he adjusting the coefficients of a quadratic equation in a way that shifts and stretches the parabola corresponding to that equation.

### Shift and scale parabolas

PRACTICE PROBLEMS
Find the equation of a parabola by shifting and scaling the basic parabola y=x^2.

### Focus and directrix introduction

VIDEO 4:07 minutes

### Using the focus and directrix to find the equation of a parabola

VIDEO 8:15 minutes

### Equation for parabola from focus and directrix

VIDEO 9:48 minutes

### Finding focus and directrix from vertex

VIDEO 11:29 minutes

### Parabola intuition 2

PRACTICE PROBLEMS
Make one parabola overlap with another by adjusting the focus coordinates and directrix.

### Parabola intuition 3

PRACTICE PROBLEMS
Make one parabola overlap with another by adjusting the focus coordinates and directrix. Find the equation of the parabola.