Question

When graphing this equation, where do I put this part of it?

Answer 1

\[y = 2+3 \sin [3(x-\frac{ \pi }{ 4 })]\] What do I do with the second 3?

Answer 2

@SoullessEyes

Answer 3

@zepdrix

Answer 4

So 2 is the center line, 3 is the amplitude, pi/4 is the phase angle. What's the 3 in front of the x?

Answer 5

Sounds right so far! :)
\[\large\rm y=A \sin[B(x-C)]+D\]A gives us amplitude,
B gives us period in this way \(\rm Period=2\pi/B\),
C is our phase shift,
D moves the center line,

Answer 6

Oo, what's period?

Answer 7

It's the amount of time it takes for the sine function to complete one full cycle.
Or in this case it would maybe be more appropriate to say,
the amount of x for sine to complete a full cycle, to get back to it's starting point.

Answer 8

So is it like the "distance" from one high point to the next?