# Parabolas and Conic Sections

A series of free, online video lessons with examples and solutions to help Algebra students learn about about parabola conic sections.

#### How To Sketch A Parabola?

Parabolas of the form y = a(x - h)2 + k
have a vertex at (h, k)
and opens upwards if a > 0
and opens downwards if a < 0

#### How To Find The Directrix And Focus Of A Parabola?

For x2 = 4py, y = -p is the directrix.
For y2 = 4py, x = -p is the directrix.

#### Conic Sections: Parabolas (Part 1)

A quick way to roughly sketch a parabola. Nothing about directrix and focus in this video (see part 2 for that). Find the vertex, x and y intercepts and do a quick graph.

#### Conic Sections: Parabolas (Part 2) - Directrix And Focus

How to go about finding the directrix and the focus for a parabola.

#### Conic Sections: Parabolas (Part 3) - Focus And Directrix

A slightly more involved example of finding the focus and directrix for a parabola..

#### Conic Sections: Parabolas (Part 4) - Focus And Directrix

Find the equation for a parabola given the vertex and given the focus and/or directrix.

#### Conic Sections: Parabolas (Part 5) - Focus And Directrix

Find the equation for a parabola given the vertex and given the focus and/or directrix.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.