"Quest" Tomorrow, Extra Credit Opportunity Below!

STUDY! 

Tomorrow we will have our "quest" on graphing sine and cosine. Here's what's on it:

• There are 3 problems where you have to graph a given trig function (sine or cosine)
• Remember to look for any vertical shifts and draw a new midline
• Then, use the a value to determine the amplitude, and draw dotted lines for the max and min values
• Next, we find the period (2pi/b!), and use this to label the key points on our x axis
• Finally, sketch the function!
• The shape depends on whether this is a sine or cosine graph
• Also, pay attention to any negatives to see if the graph is reflected!
• This is the same stuff that was on your take home quiz!
• For one of the three graphs, you are asked to graph two periods (you can add a second positive period, or a negative one, you're choice)
• Next, you are given a description of a function, and asked to write the equation
• For example: "Write the equation of a cosine graph that is not reflected, has a period of 6pi, an amplitude of 3, and is shifted 4 units down."
• You have to describe two differences between the graphs of sin(x) and cos(x)
• Next, you have three problems where you are given a graph and asked to write the equation
• We discussed this and have examples from Monday!
• First, find the midline (remember, midline = (max + min)/2
• Next, use the midline to determine the amplitude
• OR, amplitude = (max - min)/2
• Third, we have to use the period to solve for b
• Remember, period = 2pi/b
• OR, remember that b represents "the number of complete cycles between 0 and 2pi," so it is possible to find b by looking at the graph!
• Finally, determine if you have a sine or cosine graph and whether or not it's reflected (-)
• Write your equation!
• Finally, you have two questions where you are given a function and asked to describe any reflections, determine the amplitude, find the period, and describe any shifts
• For example, if I gave the function y = -4sin(2x) +1
• Amplitude = 4 (look at the "a," and remember amp. is always positive)
• Reflected? yes (because of the negative)
• Shifted: "up 1" (because of the +1)
• Period = 2pi/b = 2pi/2 = pi
• Study our stamp problem from today!

If you'd like to get some extra credit on your test grade, complete the 3 problems that were written on the board (or below) on separate paper. The number of extra points you earn will depend on whether your answers are correct or incorrect. So, do these on separate paper and bring them tomorrow for some extra test points!

Good luck studying! Check out the blog post from Friday for some videos that can help with graphing! 

And lastly...Remember, stamps are due this week (by Friday)!

• Count up your stamps (double check!)
• Staple them together/put them in an envelope/bag, and write the total on the front!
• If the total on your paper does not match your actual total you'll get a 0! Double check!
• Stamps must be turned in by Friday!
• You're literally counting the number of blue ladybug stamps you have!