Choose the correct equation for the function of the graph shown below.
y = 1/2cos1/4x
y = 1/4sinx1/2
y = 1/2 cos1/4x
y = 1/4sin1/2x
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OpenStudy (anonymous):
heres the graph
OpenStudy (misty1212):
HI!!
OpenStudy (anonymous):
hello
OpenStudy (misty1212):
first lets decide sine or cosine
any ideas?
hint: \(\sin(0)=0,\cos(0)=1\)
OpenStudy (anonymous):
im really not sure
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OpenStudy (misty1212):
take a look at the graph
what is y when x is 0?
OpenStudy (anonymous):
i dont see when x is 0
OpenStudy (misty1212):
????
OpenStudy (misty1212):
where is 0 on the x axis?
OpenStudy (anonymous):
in the middle of the crossing lines
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OpenStudy (misty1212):
yes
at the origin \((0,0)\)
so asking what is the curve at \(x=0\) is asking where does it cross the \(y\) axis
OpenStudy (anonymous):
i guess it'll on 0.5
OpenStudy (misty1212):
yes i think so too
OpenStudy (misty1212):
which tells you two things
first it cant be sine, since \(\sin(0)=0\)
OpenStudy (misty1212):
so it must be cosine
and also since \(\cos(0)=1\) and here you have \((0.\frac{1}{2})\) the amplitude is \(\frac{1}{2}\) so there must be a \(\frac{1}{2}\) out front
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OpenStudy (misty1212):
so the answer is either A or C
they look identical to me so maybe there is a typo somewhere in the question
OpenStudy (anonymous):
i didin't notice.... its the question because thats how its on my paper