Tips and Hints?

1. Transformations
a transformation is the difference between two graphs. One of the graphs being the parent graph and the other a change in the parent graph.
A parent graph would be: .....x^2, .... x, .... 2^x, ... lxl.... sin(x), .. cos(x) etc....
Horizontal shift: it is either adding or subtraction to the functions input. The function should have parenthesise enclosing the x and the change (adding or subtracting)
example: sin (x+2) NOT sin x+2
***Important***
subtracting the input: graphs shifts to the right
adding the input:graph shifts to the left
Vertical shift: it is either adding or subtracting to the functions output. Parenthesis are not used to indicate adding or subtracting to the output.
example: x-5
Unlike the horizontal shifts , when it is adding the graph moves up when it is subtracting the graph is moved down
Amplitude: It is usually the number in front of the function that indicates multiplying.This number indicates a vertical stretch or compression. When it is a fraction the graph is compressed vertically. When it is grater than one it is stretched out. When it is a negative one the graph reflects about the y-axis or in other words flips.
example: 5 sinx
Scale (Period): This is indicated by the number multiplying the input. It can either compress or stretch the function horizontally. When it is a fraction it compresses the graph. When it is greater than one it is stretched. When it is negative it reflects about the y-axis.

2. Trigonometry
It revolves around the unit circle.
One way i memorized the basic point on the unit circle is by looking at the degree. I noticed that when the denominator was 3 the x=1/2 and the y= 3½/2 when the denominator was 6 it would be the opposite x=3½/2 and y=1/2. When the denominator is 4 both y and x = 2½/2. To determine whether the x negative or y was negative you would have to determine where in the graph (coordinates) the point lies.

3. My worries
something i am worried about is trying to memorize the domain and range of sin's, cos's, tan's, sec's, csc,'s and cot's inverse. They are really specific. I'm also worried when we get to graph degrees we are not used to seeing (not the basic ones) .