katherinesmith
  • katherinesmith
What is the equation of the following graph?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
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katherinesmith
  • katherinesmith
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anonymous
  • anonymous
do you know your basic trigonometric functions
anonymous
  • anonymous
for which of the three sin,cos,tan is x=0 have an output of y=1

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katherinesmith
  • katherinesmith
yes
katherinesmith
  • katherinesmith
i don't know
katherinesmith
  • katherinesmith
...
anonymous
  • anonymous
so cos is the only one that yields a value of 1 at x=0 so the graph must be...
katherinesmith
  • katherinesmith
f(x) = cos(theta) ?
anonymous
  • anonymous
yes
katherinesmith
  • katherinesmith
i have a similar one, can you help me with it @recon14193
anonymous
  • anonymous
sure
katherinesmith
  • katherinesmith
what is the equation of this graph
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katherinesmith
  • katherinesmith
@recon14193
anonymous
  • anonymous
ok so we know that cos is the only one of the 3 that yields 1 for x=0 and that the other functions sin and tan yield 0
anonymous
  • anonymous
and 0 multiplied by anything is still zero so the only one of the 3 it could be is cos
anonymous
  • anonymous
but this cos has had some shifts and changes do you know the changes
katherinesmith
  • katherinesmith
no
anonymous
  • anonymous
just basic changes for the trig graphs like amplitude period and shifts?
katherinesmith
  • katherinesmith
like it's up 3?
anonymous
  • anonymous
ok lets start more toward the beginning do you know what amplitude and period are
katherinesmith
  • katherinesmith
not exactly no
anonymous
  • anonymous
ok so amplitude is how far a wave moves from its central line which is just an imaginary line drawn horizontally that passes through the wave so that the crest would be the same distance away as the trough if we look at your previous graph y=cosx we see this is the x-axis
anonymous
  • anonymous
and the crest is at 1 and the trough is at -1 so its amplitude is 1
katherinesmith
  • katherinesmith
okay i see that
anonymous
  • anonymous
so where does that line look for the current graph
katherinesmith
  • katherinesmith
3 and -1
anonymous
  • anonymous
well those are where the crests and troughs are but where is that center line because in total -3 and 1 are 4 units apart so the center line is at...
katherinesmith
  • katherinesmith
1?
anonymous
  • anonymous
yes you got it
anonymous
  • anonymous
so this means the graph is shifted up one
anonymous
  • anonymous
so now we have the graph cos(x)+1 but we know the amplitude is not one because that would mean the crests and troughs would be at 0 and 2 but they are not
anonymous
  • anonymous
so we have a different amplitude so how far away from the center line is 3
katherinesmith
  • katherinesmith
2 units?
katherinesmith
  • katherinesmith
@recon14193
katherinesmith
  • katherinesmith
@recon14193
anonymous
  • anonymous
sorry went out to dinner
anonymous
  • anonymous
u still there?
anonymous
  • anonymous
anyway yeah the amplitude is 2 so that leaves us with a final equation of 2sin(x)+1

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