Wednesday, February 07, 2007

DAY 2: QUADRATIC FUNCTIONS

Hello my fellow classmates! This is Rojuane and here is what we learned in today's class.

Everytime we graph an equation, a table of values is needed.

Start by picking out common numbers like -1, 0, 1, and 2 for your x valoues then solve for y.

It will be a lot easier to graph, when these common numbers are picked out.

The example given on the board was:



Graphing it looks like:


The general form of y=x2 is y=ax2
The a (coefficient) in the equation can be any value.

The next question on the board was: y=2x2
Once again you need to make a table of values.



Graphing it looks like:


NOTE:
* When the coefficient "a" is greater than 1:
-parabola will stretch vertically
-can compress horizontally
- either way it will look narrower than x2 graph

* Coefficient is greater than 0 but less than 1:
-parabola will stretch horizontally
-it is a wider graph than x2

Eg.
y=1/2x2


* If the coefficient is negative, the graph opens downward:

Eg. y=-x2


* Whenever the coefficient is positive the graph opens to the right of the x-axis and the negative coefficient goes the opposite direction:

Eg. right: x=y2 and left:
x=-y2


This wraps up today's lesson on Quadratic Functions.
I hope this is helpful and don't forget to do your homework:

Exercise #2 questions: 2-5
AND Exercise #3 questions: 1-3

Next SCRIBE: Mr. Lawrence, I choose you! (poke ball prop) Have fun! =D

Farewell friends, see you in class!

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