1) Transformation: i remember with the help of this equation y = af(b(x+c)) + d; a changes the y to be taller or smaller(vertical stretch) because it multiplies the result of the function which make the graph taller or shorter, f is the function, b makes the graph wider or thinner (horizontal shift) because the input which is the x is being multieplied before it goes in the function, x is the plug in, c make the graph shift horizontally because c adds a constant number to the input, which makes the graph look like if it is left or right, d make the graph shift vertically because the results of the function are always added by a constant number. a makes the graph taller or smaller . b makes the graph stretch horizontally . if u have trouble try to see it in a graph instead of algebraically.
2)trigonometry i do not know much, but i do know that the unit circle is important and all the information that is needed is in the first quadrant. if you know the first quadrant then you have to figure out how far the points are from other quadrants and when cosine and sine are negative and positive. which gives you the unit circle.
3)what confuses me in the trigonometry is the graphing of trigonometric functions. finding the domain and range are also confusing.
PS. the equation in 1) is in the book. if your confused with my explanation tell me.
Thursday, November 19, 2009
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