cutiecomittee123
  • cutiecomittee123
What functions are equivelent to y=4cosx-2 y=4cos(-x)-2 y=4sin(x+pi/2)-2 y=4sin(x-pi/2)-2 y=-4cosx+2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
jango_IN_DTOWN
  • jango_IN_DTOWN
cos(-x)=cos x . now try
imqwerty
  • imqwerty
these are some identities try using them to get the answer \[\cos(-x)=\cos(x)\]\[\sin \left( \frac{ \pi }{ 2 }+x \right)=\sin(x)\]\[\sin \left( \frac{ \pi }{ 2 }-x \right)=\cos(x)\]
cutiecomittee123
  • cutiecomittee123
so a and d work in that case?

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imqwerty
  • imqwerty
d won't work
cutiecomittee123
  • cutiecomittee123
how so?
cutiecomittee123
  • cutiecomittee123
is it because its not the x that is being negative, its the whole equation?
cutiecomittee123
  • cutiecomittee123
and is that the only one that is equal?
imqwerty
  • imqwerty
so if d is the answer -4cos(x)+2=4cos(x)-2 bring both on right hand side 0=8cos(x)-4 is this correct no its not so d won't wrk what do u think about c
cutiecomittee123
  • cutiecomittee123
oh i see, so if you just set them equal to eachother and solve then you will get your answers!!!!!
imqwerty
  • imqwerty
yea u can check the options like that
imqwerty
  • imqwerty
if the option u choose satisfies the equation then its correct :D
cutiecomittee123
  • cutiecomittee123
cool thanks
jim_thompson5910
  • jim_thompson5910
You can also use a graphing calculator to check. https://www.desmos.com/calculator/lwlzconupi Notice how the original graph of `y=4cos(x)-2` (in red) does not match with choice D `y=-4cos(x)+2` (in blue). If they did match, then one curve would be right on top of the other. You can turn on/off the graphs to see if one was on top of the other.
jim_thompson5910
  • jim_thompson5910
this shows how the original graph matches up with choice A https://www.desmos.com/calculator/gwwpecq6te click the circle icons to turn the graph on/off and you'll see one graph overlapping perfectly on the other
cutiecomittee123
  • cutiecomittee123
well b and c cannot match because they are sin and the origional is cosine, right?
cutiecomittee123
  • cutiecomittee123
actually i just tested it and b actually matches up
jim_thompson5910
  • jim_thompson5910
btw @imqwerty it should be sin(pi/2 + x) = cos(x)
cutiecomittee123
  • cutiecomittee123
https://www.desmos.com/calculator/lwlzconupi
jim_thompson5910
  • jim_thompson5910
yeah B should match with the original
cutiecomittee123
  • cutiecomittee123
so b and d are both equal
imqwerty
  • imqwerty
>.< oh srry silly mistake
jim_thompson5910
  • jim_thompson5910
`so b and d are both equal` incorrect
cutiecomittee123
  • cutiecomittee123
yeah but b and d match up
cutiecomittee123
  • cutiecomittee123
so then just d? was I right about the fact that they cannot be the same because b and c are sine and the origional is cosine?
jim_thompson5910
  • jim_thompson5910
since sin(pi/2 + x) = cos(x), this means y=4sin(x+pi/2)-2 turns into y=4cos(x)-2
cutiecomittee123
  • cutiecomittee123
okay i kind of get that so does that mean that c works
jim_thompson5910
  • jim_thompson5910
one moment
cutiecomittee123
  • cutiecomittee123
i graphed it and they matched up
jim_thompson5910
  • jim_thompson5910
ok I graphed the original equation (in box 1) and the four answer choices (boxes 2 through 5). Only box 1 is turned on. The other graphs are turned off https://www.desmos.com/calculator/koejh8yigm I recommend going through each and turn them on one at a time. example: turn on box 1 and box 3 to compare the original with choice B
jim_thompson5910
  • jim_thompson5910
hopefully you'll be able to see that A matches B matches C does not match D does not match
cutiecomittee123
  • cutiecomittee123
yep that what i see too. I tested it out
jim_thompson5910
  • jim_thompson5910
ok great
cutiecomittee123
  • cutiecomittee123
sweet thanks

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