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Today’s Objective: PA Standard 2.8E,N,Q

Today’s Objective: PA Standard 2.8E,N,Q. Students will incorporate the vertex of a quadratic function for the purpose of determining maximum and minimum values.

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Today’s Objective: PA Standard 2.8E,N,Q

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  1. Today’s Objective:PA Standard 2.8E,N,Q Students will incorporate the vertex of a quadratic function for the purpose of determining maximum and minimum values.

  2. Example: A basketball is shot from the free throw line from a height of six feet. What is the maximum height of the ball if the path of the ball is modeled by: The path is a parabola opening downward. The maximum height occurs at the vertex. So, the vertex is (9, 15). The maximum height of the ball is 15 feet. Distance of the ball from the free throw line when it reaches its maximum height. What does ‘9’ represent: Example: Basketball

  3. Example: The amount of revenue, R, in dollars, realized by a company in terms of the number of appliances produced, x , is shown by : Find the number of appliances produced which provides the maximum revenue and then find the maximum revenue. 4500 appliances produced will provide the maximum revenue So, the vertex is (4500, 2025000)). The company can realize maximum revenue of $2,025,000 by producing 4500 appliances. Example: Basketball

  4. Example: A manufacturer has daily production costs of : where ‘C’ is the total cost, in dollars, and ‘x’ is the number of computer games produced. Find the number of computer games which should be produced each day to yield a minimum cost. The graph is a parabola opening upward. The minimum values occurs at the vertex. We just need the x-coordinate to solve the problem so: The company can realize a minimum cost by producing 1091 computer games. Example: Basketball

  5. Assignment PP. 244 – 245: 28 – 30, 37-39, 54

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