5.1 Review Worksheet, Part 2
5.1.4 Completing the Square Solve each equation. 1. ( x + 2) 2 = 36
2. x 2 − 6 x + 9 = 100
3. ( x − 3) 2 = 5
Complete the square for each expression. Write the resulting expression as a binomial squared. 4. x 2 − 18 x + 5. x 2 + 10 x + 6. − + x x 2
1 2
Solve each equation by completing the square. 7. x 2 + 2 x = 7 8. x 2 − 4 x = − 1
9. 2 x 2 − 8 x = 22
10. 8 x = x 2 + 12
11. x 2 + 3 x − 5 = 0
12. 3 x 2 + 6 x = 1
Write each function in vertex form, and identify its vertex. 13. f ( x ) = x 2 − 4 x + 13 14. g ( x ) = x 2 + 14 x + 71
15. h ( x ) = 9 x 2 + 18 x − 3
16. f ( x ) = x 2 + 4 x − 7
17. g ( x ) = x 2 − 16 x + 2
18. h ( x ) = 2 x 2 + 6 x + 25
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