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Curve Fitting with Quadratic Models Section 2.8. Quadratic Models O Can use differences of y-values to determine if ordered pairs represent quadratic.

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Presentation on theme: "Curve Fitting with Quadratic Models Section 2.8. Quadratic Models O Can use differences of y-values to determine if ordered pairs represent quadratic."— Presentation transcript:

1 Curve Fitting with Quadratic Models Section 2.8

2 Quadratic Models O Can use differences of y-values to determine if ordered pairs represent quadratic functions O Must be constant nonzero second differences O x-values have to be equally spaced O EX: Determine whether each data set could represent a quadratic function. Explain. O 1) O 2) x13579 y171731 x34567 y392781

3 Quadratic Models

4 O Quadratic Model: O Quadratic function that represents real data set O Quadratic regression (graphing calculator) O EX: The table shows the cost of circular plastic wading pools based on the pools’ diameter. Find a quadratic model for the cost of a pool, given its diameter. Use the model to estimate the cost of a pool with a diameter of 8 ft. Diameter (ft)Cost 4$19.95 5$20.25 6$25.00 7$34.95

5 Quadratic Models O Closure: p121 Think & Discuss O HW: p121-125 #12-38even, 39-51


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