The Different Symmetries of a Parabola vs Cubic... #shorts

#shorts #short #square #cube #cubic #graph #graphs #graphing #parabola #function #math #mathematics #geometry #shapes #symmetry

Combo Class, taught by Domotro, is a crazy educational show where you can have fun learning rare things about math, science, language, and more! This is the channel for Combo Class SHORTS and EXTRAS - make sure you're also subscribed to the main Combo Class channel where full episodes go!

DISCLAIMER: any use of fire, tools, or other science experiments in this series is always done in a safe and professional way. Do not try to copy any actions you see in this series yourself.

[Domotro]

Check out my full episodes on my main channel here:
www.youtube.com/comboclass

[georem]

I love how we saw the table collapse in video, and now we have the consequences 😆

[aarshchotalia]

Slides are always a good idea for presentation.

[ryanlangman]

These are what are called even and odd functions. Where even and odd refers to the even or odd exponent. Any linear combination of even and odd functions will have these properties.

The cool part is you can even use an infinite number of combinations of these functions and it will still have these properties. This lets you show that sin cos and tan also have these properties. Along with a bund of other functions. (Sin and tan are odd, and cos is even)

[richy]

If I had this teacher i would’ve been in NASA rn

[xMightyTinfoilx]

The bananas sliding into symmetry was just too cool.

[Lucifersphoton]

The one kid that actually enjoyed math. No matter how boring the teacher was. I respect that 💯

[gapplegames]

these are called even and odd functions, respectively! this doesn’t have much to do with even and odd numbers, though for polynomial functions there is a cool trick where if all the exponents are even (including zero) then the function is even, and if all the exponents are odd, the function is odd. many graphs are neither, and a few are both!(y=0) or (|y|=|x|), for example . many other functions are famous for their evenness or oddness, for example sine and cosine, which are odd and even respectively. The true method to test for symmetry is that if f(-x) = f(x), the function is even, and if f(-x) = -f(x), the fuction is odd. another cool feature of them is that the derivative of an even function is always odd, and vice versa. hope you guys found this helpful!

[chimetimepaprika]

A guy named Armando Arredondo did a pretty tight visualization on continuation of these symmetries for fractional powers of negatives in the complex plane. I wish I could program well!

[m.a.]

rotational symmetry. At my school time it was called "Punktsymmentrie". Point symmetry to the point 0/0.

[nikhilyadav]

Always wanted the cool maths shorts videos to watch in spare time.! Keep it up sir, best wishes from India 🙌

[nickb]

I'm enjoying the mad scientist vibe

[ImmunityG]

Also if you keep going you can see that it switches back and forth the symmetry between even and odd exponents

[Mejayy]

fun fact: every planar rotation can be expressed as the composition of (at most) 3 symmetries

[PinkPanda]

This man lives in a math dimension of nonsense and it gets more surreal every time I see him

[VonWlfNtN]

I feel this guy gives me math lessons from a club house he made to escape an abusive alcoholic dad.

[hareecionelson]

x^3-x is my favourite polynomial, it looks like a spiral galaxy

[manueluochoa]

What about the graph of a circle squared?

[justarandomweeb]

Isn't it because odd function are symmetric about origin and even function are symmetric about y-axis??

[FlorianWendelborn]

It's really not that surprising that it's rotational, that's just because three negative numbers make a negative while two negative numbers make a positive when multiplied, that's it