I do not find transformations very hard. After finding the mother function of the function, then you figure out the transformations. I use whatever is inside the parenthesis to determine how far the function shifts to the side and in what direction.
EX: F(x)=(x-3) - the mother function is F(x)=x and it shifts 3 units to the right.
Then I use what's to the far right of the function to determine how far the function shifts vertically and in what direction.
EX: F(x)=x+3 - the mother function is F(x)=x and it moves 3 units up.
When a function has a negative in the front then it simply flips the equation horizontally.
EX: F(x)=-x
Trigonometry
I did not find trigonmetry very hard. It was all about the unit circle. That was the foundation of everything. I know the unit circle very well and because of that I don't have a list of steps to memorizing it.
Confusion/Worries
The only thing that worries me a bit are the inverses for sin, cos, tan, cot, sec, and csc. I don't remember being taught that so I am not use to them.
hahahaha. Mother functions. Sounds like an angry cry of functions. Mother functions! OR, like the mother of all functions. I might start using that. (Technically, it's parent functions.)
ReplyDeleteOne of the most important things about inverse trig functions is that it is used to solve for sin x. For example, when solving for 0.75=sin x, you want to take the arcsin of both sides. Just like when using ln to solve for x in e^x.
I hope that made sense.