5.2.2 Curve Fitting with Quadratic Models - Worksheet
Example 1: Determine whether each data set could represent a quadratic function. Explain. 1. x − 2 − 1 0 1 2 y 16 8 0 − 8 − 16 2. x 1 2 3 4 5 y 1 3 9 27 81
3. x 2 4 6 8 10 y 4 − 5 − 8 − 5 4
Example 2: Write a quadratic function that fits each set of points. 4. ( − 2, 5), (0, − 3), and (3, 0)
5. (0, 1), (2, − 1), and (3, − 8)
6. ( − 1, 8), (0, 4), and (2, 2)
7. ( − 4, 9), (0, − 7), and (1, − 1)
Example 3: 8. The cost of mounting different-sized photos is shown in the table. Find a quadratic model for the cost given the average side length. (For an 8 in. × 10 in. photo, the average side length is + = 8 10 2 9 in.) Estimate the cost of mounting a 24 in. × 36 in. photo.
Costs of Mounting Photos Size (in.) Cost ($) 8 × 10 10 14 × 18 16 16 × 20 19 24 × 30 27 32 × 40 39
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