ganeshie8
  • ganeshie8
are negative numbers allowed for \(x,y\) scale factors ?
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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Astrophysics
  • Astrophysics
As in negative scale factor?
ganeshie8
  • ganeshie8
yes, for example multiplying all the coordinates by "2", blows up the shape by a factor of 2
Astrophysics
  • Astrophysics
Yes, I remember reading about something similar, we just use left instead of right, down instead of up, etc for transformations at least.

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Empty
  • Empty
It seems like it could be interpreted as a reflection, but this is a good question I've thought about this sort of thing a lot.
Astrophysics
  • Astrophysics
Yeah, I remember reading about it as well haha, with graphs and what not
Astrophysics
  • Astrophysics
See I know some things in math! Guess, I'm not entirely an idiot xD
ganeshie8
  • ganeshie8
yeah multiplying x coordinates by -1 is indeed a reflection about y axis
ganeshie8
  • ganeshie8
nobbody knows everything in math, so by ur definition everybody is somewhat idiot lmao
Astrophysics
  • Astrophysics
Haha, you know everything but this would make everything upside down right
Astrophysics
  • Astrophysics
Yes, a reflection
Empty
  • Empty
I think in some sense, negative numbers are sorta just a special case of complex numbers. If we look at subtraction in a literal sense, we can never take anything away from nothing, so 0-x=0 could be defined in this way, or simply be undefined since it's nonsense. But yeah, I guess when I think of reflection if we think of smoothly transitioning the scale factor from 2 to 1 to 1/2 to 0 to -1/2 to -1... we can sort of imagine a scale turning an object inside out through itself. So it depends on if you want to allow this sorta thing or not haha.
anonymous
  • anonymous
Multiplying both by -1 should flip them across both x and y axis.
ganeshie8
  • ganeshie8
wow! yeah it is useful to allow as we can use the same formula of scaling for reflection also... wonder if it can be extended for any arbitrary line ?
ganeshie8
  • ganeshie8
reflection over y axis : scale by (-1, 1) reflection over x axis : scale by (1, -1) reflection over y=-x : scale by (-1, -1)
ganeshie8
  • ganeshie8
reflection over y=mx may involve complicated expressions for scale factors i see
ganeshie8
  • ganeshie8
Looks below sequence of transformations work for reflection over any vertical line \(x=k\) ``` translate(x-k, 0) scale(-1, 1) translate(k, 0) ```
nincompoop
  • nincompoop
a good topic for chirality and enantiomers in molecular geometry
ikram002p
  • ikram002p
well, scale factors are SCALE means take | | for it , other wise negative is a reflection so if you wanna scale by ( negative something, negative something) the negative is a direction which might do (translate, reflection,rotate) and the something as scalar itself do the scale hmmm even though i cant see any harm in doing it why cant scale be both scalar and a movement ? (translate, reflection,rotate) this is should be good in maps encryption. do you have a special case or something ?
ganeshie8
  • ganeshie8
basically the tool im using has no reflection feature. so im thinking of achieving it using below transformations 1) translation 2) scaling 3) rotation
ikram002p
  • ikram002p
oh you wanna reflection like symmetry or what ? could you give an example ?
DanJS
  • DanJS
Are negative scale factors allowed for a homogeneous thing that doesn't change with zooming ?

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