1. 4.3 Modeling with Quadratic Functions P209-211

2. Ex 1) Write an equation in standard form of the parabola passing through the points (0,0), (-1,-2), (1,6).

3. Ex) The table shows a meteorologist’s predicted temperatures for an October day in Sacramento, California. Find a quadratic model for this data. TimePredicted Temperature (F) 8AM52 10AM64 12PM72 2PM78 4PM81 6PM76

4. The diagram shows the path of a model rocket launched from the ground. It reaches a maximum altitude of 384 ft when it is above a location 16 ft from the launch site. What quadratic function models the height of the rocket?

5. The amount of cloth used to make four curtains is given by the function, where x is the width of one curtain in feet and A is the total area in square feet. Find the width that maximizes the area of the curtains and then find the maximum area.

6. A small independent motion picture company determines the profit P for producing n DVD copies of a recent release is P =  0.02n 2 + 3.40n  16. P is the profit in thousands of dollars and n is in thousands of units. Determine how many DVDs the company should produce to maximize the profit. Then find the maximum profit.

7. To line an irrigation ditch, a farmer will use rectangular metal sheets. Each side will be bent x feet from the edge at an angle of 90 ° to form the trough. If the sheets are 20 ft wide, how far from the edge (x) should the farmer bend them to maximize the area of a cross-section of the trough.

8. Time, sheight, ft 046 163 248 31 A man throws a ball off the top of a building and records the height of the ball at different times, as shown in the table. Find a quadratic model for the data. Use the model to estimate the height of the ball at 2.5 seconds, the find the ball’s maximum height.