4.10 Write Quadratic Functions and Models

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4.10 Write Quadratic Functions and Models

• Example 1a
• Write a quadratic function for the parabola
  shown.

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4.10 Write Quadratic Functions and Models

• Example 1b
• Write a quadratic function for the parabola
  shown.

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4.10 Write Quadratic Functions and Models

• Example 2a
• Write a quadratic function for the parabola
  shown.

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4.10 Write Quadratic Functions and Models

• Example 2b
• Write a quadratic function for the parabola
  shown.

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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).

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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).

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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.