Name

Class

Practice 5-1

Date

Modeling Data with Quadratic Functions

Find a quadratic model for each set of values. 1. (-1, 1), (1, 1), (3, 9) 4.

2. (-4, 8), (-1, 5), (1, 13) 5.

3. (-1, 10), (2, 4), (3,-6) 6.

Identify the vertex and the axis of symmetry of each parabola. 7.

8.

9.

Determine whether each function is linear or quadratic. 10. y = (x - 2)(x + 4)

11. y = 3x(x + 5)

12. y = 5x(x - 5) - 5x2

13. f(x) = 7(x - 2) + 5(3x)

14. f(x) = 3x2 - (4x - 8)

15. y = 3x(x - 1) - (3x + 7)

16. y = 3x2 - 12

17. f(x) = (2x - 3)(x + 2)

18. y = 3x - 5

For each parabola, identify points corresponding to P and Q.

19.

20.

22. A toy rocket is shot upward from ground level. The table shows the height of the rocket at different times.

a. Find a quadratic model for this data. b. Use the model to estimate the height of the rocket after 1.5 seconds.

21.

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