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# Scheitelpunkformby hippo2

The term "Scheitelpunktform" is the German translation of "Vertex Form". (It is shown in the picture).

A common spelling error in German is "Scheitelpunkform", which is roughly translated as "Punk head's form". Inspired by this error, I combined art and maths again.

Featured By Owner Jun 13, 2013  Hobbyist Digital Artist
Now THIS is what I call an A+ standard of maths homework!! XD
Featured By Owner Dec 8, 2013  Hobbyist General Artist
haha me too
Featured By Owner Jan 2, 2014  Hobbyist Digital Artist
LOL
Featured By Owner Jun 14, 2013
Thank you for the good grade

Featured By Owner Jun 14, 2013  Hobbyist Digital Artist
You are very welcome!

Aw thanks!
Featured By Owner Feb 12, 2013
Ach, da kann ich ja auch auf Deutsch antworten.

Scheitelpunkform ist lustig.
Featured By Owner Feb 13, 2013
Vielen Dank.
Featured By Owner Jan 18, 2013  Hobbyist Artisan Crafter
*laughing*
Featured By Owner Jan 18, 2013
Sorry, but I don't know the english term for that particular from of a function of 2nd degree.
Featured By Owner Jan 18, 2013  Hobbyist Artisan Crafter
I'm not sure I understand exactly what the function is. Describe it?
Featured By Owner Jan 18, 2013
The function is written in a special form that allows to read directly the coordinates of the Point S, which is the highest point of the graph. The last number of the term, 12,5, is the y-coordinate. Inside the brackets, there's the number -6. If you exchange the sign to +6, you get the x-coordinate of the point S.
Featured By Owner Jan 22, 2013  Hobbyist Artisan Crafter
Hm, I haven't come across that form yet. It's very useful, though.
Featured By Owner Jan 22, 2013
If you like, I can show you how to transform a normal function of 2nd degree into the "Scheitelpunktsform."

I'll do it on the example of more simple function:

f(x)=2x²+4x-12
f(x)=2(x²+2x-6)
f(x)=2(x²+2x+1-1-6)
Here I add 1 and take it away again so I can form a binomial.
f(x)=2[(x²+1)-7]
f(x)=2(x²+1)-14
Here we have the "Scheitelpunktsform"
The minimum of the graph is at (-1/-14)

The "Scheitelpunktsform" can also be used to solve an optimation problem, if it uses a function of second degree. The problem with the cage in my other deviation can be solved that way.
Featured By Owner Jan 24, 2013  Hobbyist Artisan Crafter
Oh! We call this 'vertex' form! I haven't thought about it in so long...

We call it that because the 'vertex' is the maximum or minimum of the parabola, which is what makes this form special.
Featured By Owner Jan 25, 2013
I see. "Scheitelpunkt" is the german translation for "Vertex". Thank you for the explanation.

Submitted on
October 15, 2012
Image Size
967 KB
Resolution
1536×1484
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Views
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### Camera Data

Make
SANYO Electric Co.,Ltd.
Model
C1
Shutter Speed
10/200 second
Aperture
F/3.5
Focal Length
6 mm
ISO Speed
100
Date Taken
Oct 15, 2012, 6:26:37 PM
Software
GIMP 2.8.0