1. Lesson 5.2 – Properties of Parabolas
It is only by following your deepest instinct that you can lead a rich life, and if you let your fear of consequence prevent you from following your deepest instinct, then your life will be safe, expedient and thin.

2. Standard Form: Review Standard Form of a Quadratic Equation:
What if the b = 0?
1) The vertex is at (0, c)
2) Make a table of values with x values on each side of the axis of symmetry. 2

3. You try one! 3

4. Properties of Parabolas
If a > 0, parabola opens up; if a < 0, parabola opens down
Axis of symmetry is
Vertex:
y-intercept at (0, c) 4

5. Now try this! ***What is the minimum? Direction it opens?
Axis of Symmetry?
Vertex?
y-intercept?
***What is the minimum? 5

6. Application
Ex5) The number of weekend get-away packages a hotel can sell is modeled by –0.12p + 60, where p is the price of a get-away package. What price will maximize revenue? What is the maximum revenue?
Relate: revenue equals price times number of get-away packages sold 6

7. Lesson 5.2 – Properties of Parabolas
HW: p. 248 #1, 4, 7, 12, 17, 20, 26-29
It is only by following your deepest instinct that you can lead a rich life, and if you let your fear of consequence prevent you from following your deepest instinct, then your life will be safe, expedient and thin.