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Mathematics 9 Online
OpenStudy (anonymous):

can someone please help me with this? picture posted below!!

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

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 =

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...

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