Chapter 1.03
Play with this GeoGebra/Java applet first:
http://www.slu.edu/classes/maymk/GeoGebra/TranslationCompression.html

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#2 eg "shifted horizontally (to the left) by 7"
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#4 WEP ( hint, photocopy the grid of graph paper a few times to give yourself a place to do the sketches)
#5 (same hint)
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QA:
i) Write a formula that takes a generic f(x) and shifts to the right by 3, then compresses horizontally by 5, then expands vertically by 7, then shifts downward by 1. Your formula should look like f(19*(x-23))*53+37, but with different numbers of course. 
ii) Similarly, compress f by 2 horizontally, then flip vertically, then compress by 2 vertically, then shift upward by 0.5; 
iii) Similarly, compress f by 2 horizontally, then flip vertically, then shift up by 1, then compress by 2 vertically.

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#12 (easier if you factor out an x from the first two terms?)
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QB: After problem 24: Fill in the blanks following this pattern: sine starts _in the middle_ and goes _up_. 
i) cosine starts ____ and goes ___; 
ii) -1*sine starts _____ and goes ____; 
iii) -1*cosine starts _____ and goes _____.

QC: after problem 24, following the instructions for #9-24: 6000+-4000*cos(2*pi*t/24)

QD: similar to QC: 6000*(1-(2/3)*cos(2*pi*t/24))

QE: before problem 25: Graph (sin(x))^2, which the book often writes as sin^2 (x). Suppose the resulting shape is a sine or cosine wave. What are its: 
i) centerline or average; 
ii) amplitude; 
iii) frequency; 
iv) is it more like a sine or a cosine? 
v) Write a formula to model it.

QF: repeat QE for (cos(x))^2.

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QG: WEP, after question 27: 
i) sketch abs(sin(x)), which is called a "fully-rectified" sine wave; 
ii) sketch max(0,sin(x)); this is called a "half-rectified" sine wave. These are important in electrical engineering.


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#41-49 These, while boring, are essential in later calculus work. Take a look how the
answers in the back are expressed before working on them, and understand how the
answers in the back work. 


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QH: after question 46, using the same directions as 46: 
i) exp(-(x-5)^2 / (2*7^2) ); 
ii) cos(2*pi*(t-3)/24))

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QI: after question 56 (but not directly related to it): Let v(x) be the velocity of a car when it is at position x (e.g. mile marker x) on a freeway, and let s(t) be its position at time t. What is its velocity at time t?

QJ: Let V(t) be the amount of time that someone would have to wait if they called Emergency 911 at time t; and let E(n) be the time of day that call #n is made. How long does caller # n wait?


#57 using a trick from before, we can write 0*(t<0) + 1*(t>=0) in Wolfram Alpha, or something similar in
a TI-83/84, to graph the Heaviside function (though really we can graph it without using technology at all)
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#63 MTH/MTHT