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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

Parabola vertex and axis of symmetry

VIDEO 7:22 minutes
Parabola vertex and axis of symmetry

Graphing a parabola by finding the roots and vertex

VIDEO 6:24 minutes
Graphing a parabola by finding the roots and vertex

Vertex of a parabola

PRACTICE PROBLEMS
Find the vertex of a parabola in standard form.

Multiple examples graphing parabolas using roots and vertices

VIDEO 16:05 minutes
Multiple examples graphing parabolas using roots and vertices

Graphing parabolas in standard form

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

Parabola intuition 1

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

Graphing parabolas in vertex form

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

Graphing parabolas in all forms

PRACTICE PROBLEMS
Graph a parabola in vertex or standard form.