Lesson 3.1, 3.2 - Sinusoids

Yay...My First Blog Post! ^_^

Lessons
3.1 - Sinusoids: Amplitude, Period, and Cycles
3.2 - General Sinusoidal Graphs

Equation:
y=C+A sin B(x - D)
or
y=C+A cos B(x- D)

Amplitude (A) - How far we go to reach the Minimum or the Maximum from the sinusoidal axis.

Vertical Translation (C) - Location of the sinusoid. (Essentially the location of the sinusoidal axis.)

Phase Displacement (D) - How far we shift to the right or left. (Basically the x-translation)

To find the period of the graph we go like this

Period = 360/ |B|
360/absolute value of B
Note that this is also a lot like the X-dilation in the previous lessons.












Example Problem -

Find the Amplitude, the phase displacement, the sinusoidal axis and the period of this function.

y=8-3 sin (1/4)(x+30)




Solution -
Amplitude = 3
Phase Displacement = -30
Sinusoidal Axis - y=8
Period = 4*360 = 1140

Additional Internet Resources:

A webpage that explains a lot of things about sinusoids

_______________________________________________

Reminder! The next blog poster is...Amira! Have fun!

_______________________________________________

Hmmm...now for my personalization...
it may not be as appealing to some of you as to me...but
Yes, I want you all to go to the varsity homecoming game! Yes, it really is that important to me so please come!!! It is on the October 28 at like 7. You'll know the details soon enough, we'll really enjoy your support.
Oh yeah, just a reminder for all of you, we are required to post 2 comments for the blogs during each quarter so just so you know!