Tips and Hints

1. How I remember transformations.

• I know that transformations have to do with how graphs shift. I remember that if you add a number to the output of the function the graph shifts up and if you subtract it the graph moves down. For example f(x)=x+3 in this example the graph moves up 3 spaces up. If you add something to the input, the graph could either move to the left or the right. For example f(x)=(x+5), in this graph the graph shifts 5 units to the left. What I use to remember where the graph shifts is whether the number you are adding is inside or outside of the parenthesis. If it is at the outside of the parenthesis the graph could move either up or down. If it is in the inside, the graph shifts to the left or right. If the exponent is a negative the graph is automatically flipped vertically. For example y=-x+4. This graph is flipped vertically.

2. How I remember trigonometry.

• Trig. is basically all about the unit circle. you basically have to memorize the unit circle. You have to know from 0 to 2pie. There are 16 important radians. each one of these radians has a certain coordinates. When asked anything about the unit circle, for example sin of pie/2. One of the most important things to know is that sin stands for the y coordinate and that cos is for the x coordinate. if you know the coordinates of each radian, problems like this should be easy. In order to graph them, again you need to know the coordinates of each radian. if you are asked to graph f(x)=sin(x), you have to plug in the radians starting with 0 aka 2pie. sin of 2pie is 0. then go to pie/6, sin of pie/6 is 1/2. if you continue this process you can graph this function easily.

3. What worries me.

• what worries me the most... I would have to say that graphing logs. I understand how to graph them and all but unfortunately it takes me too long to graph them. It takes me way too long to figure out how the graph looks. It is very time consuming, when it gets too complicated, I don't have that much patience and I may give up. That is the only problem i have so far.