5.1.4 Completing the Square - Worksheet
Example 1: Solve each equation. 1. ( x − 2) 2 = 16
2. x 2 − 10 x + 25 = 16
3. x 2 − 2 x + 1 = 3
Example 2: Complete the square for each expression. Write the resulting expression as a binomial squared. 4. x 2 + 14 x + 5. x 2 − 12 x + 6. x 2 − 9 x +
Example 3: Solve each equation by completing the square. 7. x 2 − 6 x = − 4 8. x 2 + 8 = 6 x
9. 2 x 2 − 20 x = 8
10. x 2 = 24 − 4 x
11. 10 x + x 2 = 42
12. 2 x 2 + 8 x − 15 = 0
Example 4: Write each function in vertex form, and identify its vertex. 13. f ( x ) = x 2 + 6 x − 3 14. g ( x ) = x 2 − 10 x + 11
15. h ( x ) = 3 x 2 − 24 x + 53
16. f ( x ) = x 2 + 8 x − 10
17. g ( x ) = x 2 − 3 x + 16
18. h ( x ) = 3 x 2 − 12 x − 4
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