Weekend HW!

The homework tonight was passed out at the end of class, if you weren't here or you lost it I'll post a picture below. Remember to mark all vertical asymptotes and plot all x-intercepts, then you should be able to graph the parent function using those markings.

For the critical thinking questions: (limit questions) we are just saying what is the limit of tan(x)/cot(x) approaching from the left/right and then the overall limit.

If you are having trouble look in your book! (pg 298 [tan(x)] and pg 300 [cot(x)])

BRING IN YOUR STAMPS!!!!!

Tonight's HW is just bringing in your stamps!!

STAMPS ARE DUE TOMORROW! I WILL NOT ACCEPT THEM AFTER TOMORROW!

• Count up your stamps and record the the total on the front (with your name)
• Put them in a bag or staple them together--somehow get them all together
• Double check your count! I'll randomly select 5 students to double check, and if your count is off you get a 0! (Gotta be able to count in Pre-Calc :) )

STUDY FOR TEST!!!!

Tonight's homework is just studying for the test. The template you used during class lists the four things you will need to be able to do for this test. If you are having trouble with any of those feel free to send a Remind! message, you could try doing some odd problems from the book and checking your answers in the back. Review the sequence of steps and the table for +/- cos, sin that I handed out yesterday if you're having trouble.

Topics covered on the TEST are as follows:

• Parent functions (sin, cos) and their shape
• amplitude (|a|) and how it affects graphing the parent function
• Vertical shift and how it affects graphing the parent function
• Determining Period (=2π/b) 
• For Determining equations: plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we WILL NOT be using phase shift to determine equations only those 5!!
• Determining Equations based on written descriptions (amp of 4, shift up of 3....)
• Writing descriptions of a trig equations
• Don't forget to include the - (negative)
• a negative should be written like this "Reflected over the midline"

There is a key to last night's homework below:

5) y = -cos(2/3 x) + 2

6) y = 2sin(2/7 x) - 2

Tuesday HW/Review for TEST!

Remember to bring in STAMPs (due Wednesday!) 

• Count them, Record total on front
• Staple together, put in an envelope, create some sort of organized system to turn them in!
• DOUBLE CHECK YOUR TOTAL! (if it's wrong you'll get a 0)

#5 & 6 are below: Directions: Determine the equation to the following graph. (DO NOT CONSIDER PHASE SHIFT FOR THESE PROBLEMS! THESE GRAPHS DO NOT INCLUDE PHASE SHIFT!)
5)

 6)

*Along with the HW if you are still feeling shaky on any of the subjects below do some studying, some more extra practice!*

Here are the topics covered:

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• Vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we WILL NOT be using phase shift to determine equations only those 5!!

A Picture of the homework is below:

Monday = Revisit/Retry the Weekend HW!

This homework assignment is out of the book! For all the problems only graph g(x), the book gives two equations f(x) and g(x) and tells you to compare, you do not need to do that, for homework just graph two periods of g(x).

Pg. 294

• 15, 16, 21, 22, 34

USE YOUR CALCULATOR OR DESMOS CALCULATOR TO CHECK IF YOUR GRAPH LOOKS CORRECT!

The book problems are below as well:

15) g(x) = sin(x - π)

16) g(x) = cos(x + π)

21) g(x) = 5 + sin(2x)

22) g(x) = -6 +cos(4x)

34) g(x) = -cos[x - (π/2)]



Also remember we have a Test Thursday! We will be reviewing on Tuesday and Wednesday so it would be a good idea to get a bit of studying in now so you can ace your classwork and be ready for Thursday!

Here are the topics covered: (notice there is something new)

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• Vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Phase shift and how it affects the parent graphs (shift the starting point (x=0) for any given function)
• Determining equations based on a graph (consider midline, amplitude, period, shape, and +/-)
• Don't worry we will not be using phase shift to determine equations only those 5

Thursday HW!

The homework tonight is the worksheet I handed out for homework. I will be posting a picture of it below if you lost it or weren't here. This homework is more than busy work its some good practice for your Quiz tomorrow. The homework covers all the same concepts so if you are able to finish this homework without a hitch you'll Ace the Quiz.

Remember: If you have any questions you can send a Remind! message. I will be here after school and free during G, H period. If you feel uncomfortable with your chances going into this test let me know, I'm here to help. 

Again, here are the topics covered:

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• vertical shift and how it affects the parent function
• Determining Period (=2π/b) 
• (the only new thing to pay attention to when writing equations from graphs)
• plug in period (into the equation above) and solve for b
• Determining equations based on a graph (think about where the graph starts; at its min/max or mid line)

THE HOMEWORK FOR TONIGHT IN IMAGE FORMAT! (key below)

DETAILED KEY! (multiple pages long)

Wednesday HW!

Tonight's HW is just sketching one period of the graphs listed below:

• Determine b and plug it into the equation for Period
• Where should we start on the x axis? (first critical value)
• Label your last (fourth) critical value with the full period
• find half of the period for your second critical value
• take half of the second critical value to find your first critical value
• multiply the first critical value by 3 to find the third critical value

1. y = cos(x/4)
2. y = 3sin(4x)
3. y = -sin(x/3) - 1
4. y = 2cos(3x/2) + 1
5. y = -3sin( 2πx ) + 3 

We have a Quiz this Friday (and Test next Thursday) on everything about graphing that we have learned so far. This includes:

• Parent functions (sin, cos)
• amplitude (|a|) and how it affects the parent function
• vertical shift and how it affects the parent function
• Determining Period (=2π/b)
• Determining equations based on a graph (think about where the graph starts; at its min/max or mid line)