Lesson 5.2 – Properties of Parabolas

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5.2 Properties of Parabolas

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Presentation transcript:

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.

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

You try one! 3

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

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

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

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.