1. Everything I could want to know.
Quadratics
Everything I could want to know.

2. Intervals of increasing and decreasing.
Consider the following parabola.
The equation is _________
If we go from left to right the quadratic decreases until we get to the vertex.
So the interval of decreasing is _________
NOTE WE ALWAYS REPORT THE X. We want to know what x’s will make the function decrease in f(x). (height)
Therefore the interval of increasing is
____________

3. If the parabola opens down.
How about this parabola.
The equation is _______________
The interval of decreasing is ____________
The interval of increasing is ____________
REMEMBER REPORT THE X’S

4. End Behavior
End Behavior is just where is the height of the function (quadratic) going as x gets very large or very small.
Consider As x gets really big
what is f(x) (remember height)
of function doing?
As x gets really small

5. More End Behavior Consider
End behavior is almost always written like this
In fact with parabolas if they open up f(x) will always approach _________. If they open down f(x) will always approach _________.
(now you can impress your friends…..end behavior and intervals of increasing and decreasing are common Calculus topics)

6. Example. Lets do it all. Consider: Find vertex _________
Find AOS: ________ ) Max or min of ______
4) Find Y-int:_________
5) Domain: ________ 6) Range________
7) Intervals of increasing ________
8) Intervals of decreasing ________
9) End Behavior
10) Transformations

7. Average rate of change (AROC)
Since we cannot find slope of a parabola (yet…..foreshadowing, calculus) we actually cheat, we can find the average slope between two points.
So for the parabola
Find the average rate of change from x=-2 to x=1
Find the ordered pairs (-2, ) and (1, ) and then just find the slope between these points.

8. AROC continued
(-2, 61) and (1, 46) AROC=