If T: (x,y)> (x+8, y+4)), then t1: (x,y)> ?
My options:
(X+8,y-4)
(2x,y)
(-x/2,-y)
(X-8, y-4)
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jimthompson5910 (jim_thompson5910):
you're looking for the inverse right?
OpenStudy (anonymous):
I'm not sure I think it has something to do with reflection.
jimthompson5910 (jim_thompson5910):
is there a negative 1 over the t?
OpenStudy (anonymous):
No there is not
jimthompson5910 (jim_thompson5910):
hmm just seems odd what they mean by t1
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OpenStudy (anonymous):
t^1 make more sense?
jimthompson5910 (jim_thompson5910):
If it was \(\large T^{-1}\) then that's the inverse operation of T
OpenStudy (anonymous):
Yeah! But its not negitive. I could be I could of wrote it down wrong..
jimthompson5910 (jim_thompson5910):
double check please
OpenStudy (anonymous):
I can't, the question is a online course and I can only excess it at school.
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jimthompson5910 (jim_thompson5910):
oh that's a shame
jimthompson5910 (jim_thompson5910):
well let's assume that it's \(\large T^{-1}\) that's the only thing that makes sense in this context
OpenStudy (anonymous):
I agree
OpenStudy (anonymous):
Then what would be the answer them?
jimthompson5910 (jim_thompson5910):
that would mean that \(\large T^{-1}\) undoes everything that operation T does
T: (x,y)> (x+8, y+4))
means
take any point and move it 8 units to the right and 4 units up
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jimthompson5910 (jim_thompson5910):
The exact opposite would be
take any point and move it 8 units left and 4 units down
jimthompson5910 (jim_thompson5910):
which is exactly what (x,y) ----> (x-8, y-4) is saying
jimthompson5910 (jim_thompson5910):
So if T: (x,y)> (x+8, y+4))
then \(\large T^{-1}\): (x,y) ----> (x-8, y-4)
OpenStudy (anonymous):
So it is D?
jimthompson5910 (jim_thompson5910):
yep
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