5.1.3 Solving Quadratic Equations by Graphing and Factoring - Worksheet
Example 1: Find the zeros of each function by using a graph and table. 1. f ( x ) = x 2 + 4 x − 5 2. g ( x ) = − x 2 + 6 x − 8
3. f ( x ) = x 2 − 1
Example 2: Find the zeros of each function by factoring. 4. f ( x ) = x 2 − 7 x + 6
5. g ( x ) = 2 x 2 − 5 x + 2
6. h ( x ) = x 2 + 4 x
7. f ( x ) = x 2 + 9 x + 20
8. g ( x ) = x 2 − 6 x − 16
9. h ( x ) = 3 x 2 + 13 x + 4
Example 3: 10. The height h of an arrow in feet is modeled by h ( t ) = − 16 t 2 + 63 t + 4, where t is the time in seconds since the arrow was shot. How long is the arrow in the air?
Example 4: Find the roots of each equation by factoring. 11. x 2 − 6 x = − 9
12. 5 x 2 + 20 = 20 x
13. x 2 = 49
Example 5: Write a quadratic function in standard form for each given set of zeros. 14. 3 and 4 15. − 4 and − 4 16. 3 and 0
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