Weekly Reflection 10-12-18

Transformations of sine and cosine graphs:
I will be able to transform sine and cosine graphs


An example of a transformation of a sine graph is y= 4cos2x. The amplitude is 4, the period is pi, with a horizontal compression by a factor of 2. The amplitude is the number in front of the trig so in this case 4. The period is found when you take the frequency which comes before the variable (x) and divide it by 2 pi. Also I know that 2 is a horizontal compression because it is inside the equation and is a whole number.

One misconception I had was I thought the frequency was the same as the period until Mrs. Burton explained the difference and told us that you have to use the frequency to find the period.


EQ: How do I transform the graphs of trigonometric functions?
You have to find out what the amplitude, vertical and horizontal compression/stretches, period, and find out if the graph reflects or not. The amplitude is the number in front of the equation this number also tells you if the graph stretches or compresses vertically. The inside number is the frequency this number also tells you if the graph stretches or compresses horizontally. The period can be found be dividing 2 pi by the frequency. Once you have all of this information you can graph your function.

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