Graphing Complex Numbers

This algebra video tutorial explains how to graph complex numbers. It contains plenty of examples and practice problems of plotting complex numbers in standard form a + bi. a represents a real number and bi is the imaginary number. The x-axis is for real numbers and the y-axis is for the imaginary numbers.

Imaginary Numbers - Basic Intro:

Graphing Complex Numbers:

Absolute Value of Complex Numbers:

Adding & Subtracting Complex Numbers:

Multiplying Complex Numbers:

Dividing Complex Numbers:

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Simplifying Complex Numbers:

SAT Math - Complex Numbers:

Solving Equations With Complex Numbers:

Imaginary Solutions of Polynomials:

Complex Numbers - Test Review:

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The Discriminant:

Complex Numbers In Polar Form:

Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[berndin]

you can explain things better in 2 minutes than most teachers can in 20.

[jacobschwartz]

It took my math teacher 2 1 hour classes to explain what you just did in sub 2 minutes. Bravo!!!

[thomaszabel]

Thank you for this. I watched a couple of videos today on the Mandelbrot set. I understood most of it, but the missing part was how complex numbers are graphed: What is X and what is Y? Now I understand, and it makes the Mandelbrot effect so much more amazing!

[georgesadler]

MR. Organic Chemistry tutor, thank you for the video on Graphing Complex Numbers.

[Joedancer]

Plot the affix of complex number z = 2 5+i

[jackkuhl]

that was so painfully simple it kind of makes me mad that I looked this up but great video lol

[FurryEskimo]

Would it be possible to make a 3d graph, that includes imaginary numbers? I’ve never tried, but in a formula I’m writing I have the square root of x, which Does result in imaginary numbers being added to real numbers, and at that point my current graph just shows nothing.

[georgemichelakis]

How do I know how to graph y=-sqrt(x-3) ??? I had a question like that. I know how a sqrt function should look like on a graph but how do I find the points if the point is lets say (-3, -3i) ???