# Solving and graphing quadratics

9 videos

5 skills

Tired of lines? Not sure if a parabola is a disease of the gut or a new mode of transportation? Ever wondered what would happen to the graph of a function if you stuck an x² someplace? Well, look no further.
In this tutorial, we will study the graphs of quadratic functions (parabolas), including their foci and whatever the plural of directrix is.

### Graphing a parabola with a table of values

VIDEO
7:04 minutes

Graphing a parabola with a table of values

### Graphing a parabola by finding the roots and vertex

VIDEO
6:24 minutes

Graphing a parabola by finding the roots and vertex

### Finding the vertex of a parabola example

VIDEO
5:40 minutes

### Multiple examples graphing parabolas using roots and vertices

VIDEO
16:05 minutes

Multiple examples graphing parabolas using roots and vertices

### Graphing a parabola using roots and vertex

VIDEO
4:41 minutes

### Graphing parabolas in standard form

PRACTICE PROBLEMS

Graph a parabola given the equation in the form ax^2+bx+c

### Shifting and scaling parabolas

VIDEO
8:01 minutes

### Parabola intuition example 1

VIDEO
1:50 minutes

### Parabola intuition 1

PRACTICE PROBLEMS

Make one parabola overlap with another by adjusting the leading coefficient and vertex coordinates.

### Graphing a parabola in vertex form

VIDEO
3:16 minutes

### Graphing parabolas in vertex form

PRACTICE PROBLEMS

Graph a parabola given the equation in the form a(x+b)^2+c