f(x)=3csc(pi/4x+pi/8) I need to know a. the period of this function, b. the sequence of transformations from g(x)= csc(x) - F(x) = 3 csc(pi/4x+pi/8)

Question

f(x)=3csc(pi/4x+pi/8)    I need to know a. the period of this function, b. the sequence of transformations from g(x)= csc(x) -> F(x) = 3 csc(pi/4x+pi/8)

mertsj · Answer

Same as before.  Factor out the pi/4 first.

mertsj · Answer

The period can be found with this formula

$$Coefficient` of `x  = \frac{2 \pi}{period}$$

anonymous · Answer

ok so its starts with the vert stretch from 1 -> 3, then a horizontal stretch by a factor of $$\frac{ \pi }{ 4}$$

mertsj · Answer

yes

anonymous · Answer

then a shift to the left of......and I'm stuck.  i want to say $$\left(\begin{matrix}\pi \ 2\end{matrix}\right) -\left(\begin{matrix}\pi \ 42\end{matrix}\right)$$

mertsj · Answer

Shift to left of pi/2

anonymous · Answer

is that from pi/4* pi/8?

mertsj · Answer

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