The graph of g(x) is the result of translating the graph of f(x) = three units to the left. What is the equation of g(x)?
1 answer:
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Period is from 0 to 2pi
take the deritivive then take it again
we get f''(x)=-4cos²(x)-2cos(x)+2
it is negative between 0 and pi/3 and also between 5pi/3 and 2pi
concave down in the interval
![[0, \frac{ \pi }{3}]](https://tex.z-dn.net/?f=%5B0%2C%20%5Cfrac%7B%20%5Cpi%20%7D%7B3%7D%5D)
U ![[\frac{ 5\pi }{3},2\pi]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%205%5Cpi%20%7D%7B3%7D%2C2%5Cpi%5D)
take the deritivive then take it again
we get f''(x)=-4cos²(x)-2cos(x)+2
it is negative between 0 and pi/3 and also between 5pi/3 and 2pi
concave down in the interval