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Section 9 – 2 Quadratic Functions

Section 9 – 2 Quadratic Functions. Objective: To graph quadratic functions of the form. The b affects the position of the axis of symmetry, which also changes the position of the vertex. The equation of the axis of symmetry is related to the ratio of. Axis of Symmetry.

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Section 9 – 2 Quadratic Functions

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  1. Section 9 – 2 Quadratic Functions Objective: To graph quadratic functions of the form

  2. The b affects the position of the axis of symmetry, which also changes the position of the vertex.

  3. The equation of the axis of symmetry is related to the ratio of

  4. Axis of Symmetry The Equation of the Axis of Symmetry is: The x-coordinate of the vertex is also

  5. Problem #1 Graphing A) What is the graph of the function ?

  6. Problem #1 Graphing B) What is the graph of the function ?

  7. Problem #1 Graphing C) What is the graph of the function ?

  8. Problem #1 Got It? What is the graph of the function ?

  9. HOMEWORK Textbook Page 556-557; #8 – 14 Even #16 – 19 All #20 – 24 Even

  10. Section 9 – 2 Continued… Objective: To examine practical applications of quadratic functions.

  11. h This formula can be used to determine the approximate height above the ground of an object projected in the air, given an initial upward velocity continues with no additional force acting on it.

  12. Problem #2 Using the Vertical Motion Model A) During halftime of a basketball game, a slingshot, that is 5 feet above the ground, launches t-shirts at the crowd. A t-shirt is launched with an initial upward velocity of 72 ft/s. The t-shirt is caught 35 feet above the court. How long will it take the t-shirt to reach its maximum height? What is its maximum height? What is the range of the function that models the height of the t-shirt over time?

  13. Problem #2 Using the Vertical Motion Model B) Daniel kicks a soccer ball up into the air with an initial upward velocity of 64 feet per second. The ball is 2 feet above the ground when it is kicked. How long will it take the ball to reach its maximum height? How high above the ground will it be? What is the range of the function?

  14. Problem #2 Using the Vertical Motion Model C) A punter kicked the football into the air with an upward velocity of 62 ft/s. Its height in feet after t seconds is given by the formula . What is the maximum height the ball reaches? How long will it take the football to reach the maximum height? How long does it take for the ball it hit the ground?

  15. HOMEWORK Textbook Page 557; #26, 27

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