Today

1
Todays ObjectivePA 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