Write 2 equations that have a sine curve with a maximum Y value of 6 and a minimum Y value of -2 and passes through the point 3 pie/4 , 2.

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- Mar 2nd 2009, 02:57 PM #1

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- Mar 2nd 2009, 09:10 PM #2
For the graph of y = sin(x), this is just a shift up 2, a change in the amplitude by a factor of 4, a change in the period by a factor of 3, and shifted to the left$\displaystyle \frac{\pi}{4}$

So,

$\displaystyle y = 2 + 4sin(3x - \frac{\pi}{4})$

Can you find the other equation? Hint: It will be in terms of cos(x)

- Mar 3rd 2009, 03:52 PM #3

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- Mar 3rd 2009, 03:59 PM #4
The directions say that they MUST be in terms of sin(x)? Ok, well in that case, it will be the same equation except $\displaystyle 2-4sin(3x - \frac{\pi}{4})$ which is just the same graph flipped upside down.

You could impress your teacher by showing her the cos version too, as it also is valid for that criteria.

- Mar 4th 2009, 03:28 PM #5

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