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June 17, 2019, 11:19:20 am

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#### fun_jirachi

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« Reply #4260 on: June 12, 2019, 11:39:16 pm »
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Still not quite sure what you're asking but will do my best to answer

If ever in doubt, always plot some points. With sine curves (and trigonometric curves in general) multiples of pi/2 are always good x-values to test out, as they're usually the x-intercepts or turning points of the curve.

eg.
$\text{For} \ f(x)=4+3\sin 2x \\ f(0)=4, f\left(\frac{\pi}{2}\right)=7, f(\pi)=4, \ \text{etc.}$

The curve is also the original sine curve compressed by a factor of two, stretched vertically by a factor of 3, then shifted up by 4 units. If you like, the amplitude gets tripled, the period gets halved and it gets shifted up 4 units. ie. x-values will line up with triple the y-value on the curve sin2x shifted up 4.

I hope this makes some sort of sense
« Last Edit: June 12, 2019, 11:42:12 pm by fun_jirachi »
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