Weekly Reflection 10-19-18

Graphing: Find the Critical Points:
I will be able to graph and identify properties of sine and cosine graphs.


The graph above is the image of a sine graph. I was only given the equation I had to graph it on my own in order to graph it I had to find out the period, amplitude, and the critical interval the outside number tells me that the amplitude of my graph is 3 and this is a vertical stretch not compression since it is a whole number. Also I know this is a sine graph so it will start at (0,0) not at it's amplitude like cosine. The inside number is 2, (this is my frequency). 2 pi divided by this number 2 will give me the period pi. To find the critical interval you take your period, which in this case is pi and divide it by 4. I take this number and add 1 until I get my period. These numbers will make up my x-axis numbers. Now that I have all of my information I can graph it. The graph above is what I got. 

One misconception I had was I did not know I had to use the critical interval points as my x-axis I thought that I could use any numbers that I wanted. I overcame this misconception when Mrs.Burton taught the class how to find the critical points then I put 2 and 2 together and figured out my mistake.


EQ: How do I transform the graphs of trigonometric function?
You can transform the graph by looking at the equation. The outside number is the amplitude, this is the highest point on the graph, this outside is also the vertical stretch or compression depending on if it is a whole number or less than 1. The inside number is the frequency, this shows how frequent the graph repeats. The inside number is also the horizontal stretch or compression depending on if the number or less than 1. The period can be found when you divide 2 pi by the frequency. The period is the point when the wave has made a complete cycle.



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