Sunday, November 22, 2009

Tips and Hints!

1. What i remember about transformations?

Dont know how to eplain it very well but this is how i remember.
(Here is a website that may help, Look For Tutorial #31 or 32)
http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm

Example.
f(x) = (x^2 +3)-3

a) The first thing i do is identify what the original function was.

Linear Function

Domain:
Range:



Constant Function


Domain:
Range:



Quadratic Function


Domain:
Range:



Cubic Function


Domain:
Range:



Square Root Function
Domain:
Range:


Absolute Value Function

Domain:
Range:

The function is a parabola because of the x^2 (one input gives you 2 outputs)

b) Once i know what the original function was, Then i look for parentheses in the function.

The function does have parentheses.

f(x)= (x^2+3)-3

(For me, this means that there will be a horizontal shift (the function will go left of Right)

--Because there is a positive 3 the function will shift Left 3 units

--If it were to be Negative the function will shift Right

c)Once i have shifted the function horizontally, I look at the Function and see if there are any numbers outside the parentheses.

There is a number outside the parentheses.

f(x)= (x^2+3) -3

(The number outside makes the function shift vertically up or down)

---Since there is a negative 3, it will shift Down 2 units

---If the number were to be Positive, it will Shift Up

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2. What i remember about Trig And Understand?

Trigonometry is about Triangles!!!



This is how all the The circle works. With the Functions.
Each Function being describe is what we are looking for when it comes to the Unit Circle and the Functions

This website Can help you understand more!!!
ITS CRAZY!!!
http://ocw.mit.edu/ans7870/18/18.013a/textbook/chapter02/section02.html

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3.What i Dont unserstand?

I have trouble with unit circle and coming up with cordinates on the spot. Like if someone asks me to tell them quickly the cordinate. But thats just me and remembering things = D I think thats it.

1 comment:

  1. Wow Monica! This is amazing! Nice list of the parent functions!

    What happens when you multiply inside the parenthesis or outside the function?

    And you're right, you just gotta memorize that unit circle by now. =T

    ReplyDelete