smurfy14
  • smurfy14
y=cos(-0.4x) has a horizontal stretch of..? PLEASE HELP
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
you mean period?
smurfy14
  • smurfy14
oh yes
anonymous
  • anonymous
are you looking for the period of \[\cos(-.4x)\]?

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smurfy14
  • smurfy14
yes
smurfy14
  • smurfy14
im looking for something like "it stretches X..."
anonymous
  • anonymous
period of \[\cos(x)\] is \[2\pi\] so period of \[\cos(bx)\] is \[\frac{2\pi}{b}\]
anonymous
  • anonymous
in your case you get \[\frac{2\pi}{.4}=5\pi\]
smurfy14
  • smurfy14
no heres an example: y=-3cos1/2x has a horizontal stretch of 2 but i cant figure out what it would be for this problem
anonymous
  • anonymous
so period goes from 2 pi to 5 pi
anonymous
  • anonymous
oooooooooooooooh silly way to word the problem. in your case \[\cos(\frac{1}{2}x)\] teh "stretch" was 2
anonymous
  • anonymous
in other words the reciprocal of coefficient. the reciprocal of .4 is 5, so stretch is 5
smurfy14
  • smurfy14
ohhhkay so you dont have to include the whole thing like 2/5=5/2 you just take the numerator?

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