can someone please help me with this? picture posted below!!
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OpenStudy (anonymous):
OpenStudy (anonymous):
"Let it go, let it go"
OpenStudy (anonymous):
@hannah minx
OpenStudy (anonymous):
NOPE.
OpenStudy (campbell_st):
ok... so looking at the periods
g(x) has a period of 2pi
so
f(x) has a period of pi
then
g(x) = asin(x)
f(x) = asin(2x)
if
\[f(\frac{\pi}{4}) = 4....then... 4 = asin(2\times \frac{\pi}{4})\]
so for f(x) a = 4
so \[f(x) = 4\sin(2x)\]
f(x) has an amplitude of 4
so g(x) has an amplitude of 2
so then
g(x) = 2sin(x)
thats my best guess
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OpenStudy (anonymous):
ook.. so g(x) = 2sin(x) would be my answer?
OpenStudy (anonymous):
could you help me with one more?
OpenStudy (anonymous):
@campbell_st
OpenStudy (campbell_st):
ok..well what is the centre of the curve... to find it
(12 + 52)/2 =
OpenStudy (campbell_st):
well to find the amplitude you need to 1st find the centre of the curve
(12 + 52)/2 =
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OpenStudy (anonymous):
its 32
OpenStudy (anonymous):
then what?
OpenStudy (anonymous):
@campbell_st
OpenStudy (campbell_st):
the amplitude is 20.... (52 -12)/2 = 20
so the equation is
\[y = 20\cos(bx) + 32\]
just from the period...