Now that we know what the base function for sine and cosine looks like, we can manipulate/change that base function in many ways. The first way is to change the range of the function by stretching/compressing it: this is called a change in amplitude.
When changing the amplitude of the function, we would expect to see a number in front of the trig function, like this:
y = 4sinx
y = (1/4)sinx
y = -4sinx
and the same applies for cosine functions as well. The "4" in the first example stretches the normal range of sine [-1, 1] to [-4, 4]. The "1/4" in the second example compresses the normal range of sine [-1, 1] to [-1/4, 1/4]. And the "-4" in the third example both stretches the function, like in the first example, and flips the function upside-down.
We practiced graphing on Thursday and made artwork out of five trig functions on Friday, where Mr. Williams will be judging for the top three on Monday. Shout out to everyone who brought their creative side to class on Friday! (and special shout out to Quadarius Gatewood, who found the creative side that he didn't think he had in a matter of 15 minutes!)
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