Tips and Hints

1. Share how you remember transformations. Do you have any tips or hints that help you remember?

I picked up transformations fairly quickly by just seeing how functions shifted and changed. The hardest part for me in learning transformations was to memorize how the parent function looked like. I remember parent functions by picturing a sketch of it on my head for example how it looks like without the axis whether it is curvy or straight. I then just memorize three points one would be a positive value for x a negative value and zero. I know that most functions have some type of particular pattern and would just use that to find other points in the graph. For example I remember the function f(x)=cosx by knowing that it is wavy and the function intersects points

(-pie/2,0), (0,1), (pie/2), and (pie,-1). I then just finish the graph of by seeing the wavy pattern and finding the rest of the points. In terms of knowing how a graph shifts whether it is up, down , side to side I just see in the equation what is being changed whether it is the input or output. I know that if the input is being changed by adding or subtracting the function shifts side to side for the x values and if it is multiplied by negative 1 it flips from side to side,etc. In terms of remembering what happens to the graph when the function is being change I just remember that if you change the input the x values are being affected and the same for the output.

2. Trigonometry is a lot more simple if you remember the basis of it which is the unit circle. To me knowing the unit circle makes trigonometry a lot more simple. I memorized the unit circle by memorizing the values in the first quadrant and knowing how it changes from quadrant to quadrant. For example the tip Ms.Hwang gave us helped me a lot in finding the radian values for the 2nd, 3rd, and 4th quadrants for example in the second quadrant the value is one less the denominator, for the second one more the denominator, and for the fourth two times the denominator subtracted by one.

3. I Still struggle in trying to remember how the graphs for the inverse functions look like and how their domains change. I also sometimes still get confused on whether what changes should i do to a graph when the function is changed.