Complete the square to transform the quadratic equation into the form (x – p)2 = q.

x2 - 12x - 5 = 7

(x - 6)² = 48

Step-by-step explanation:

We can solve it by completing square:

x² - 12x - 5 = 7

x² - 12x = 12

x² - 2*6x =12

We need to use formula

a² + 2ab + b² = (a + b)²

x² - 2*6x + 6² - 6² = 12

(x - 6)² = 12 + 36

(x - 6)² = 48

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068