4.10 Write Quadratic Functions and Models

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Presentation transcript:

4.10 Write Quadratic Functions and Models Example 1a: Write a quadratic function for the parabola shown.

4.10 Write Quadratic Functions and Models Example 1b: Write a quadratic function for the parabola shown.

4.10 Write Quadratic Functions and Models Example 2a: Write a quadratic function for the parabola shown.

4.10 Write Quadratic Functions and Models Example 2b: Write a quadratic function for the parabola shown.

4.10 Write Quadratic Functions and Models Example 3a: Write a quadratic function in standard form for the parabola that passes through the points (-1, -3), (0, -4), and (2, 6).

4.10 Write Quadratic Functions and Models Example 3b: Write a quadratic function in standard form for the parabola that passes through the points (-2, 30), (1, 6), and (4, 36).

4.10 Write Quadratic Functions and Models Example 4: A pumpkin tossing contest is held each year in Morton, Illinois, where people compete to see whose catapult will send pumpkins the farthest. One catapult launches pumpkins form 25 feet above the ground at a speed of 125 feet per second. The table shows the horizontal distances (in feet) the pumpkins travel when launched at different angles. Use a graphing calculator to find the best-fitting quadratic model for the data.