For the quadratic, y = 3x2 + 4x - 3, the y-intercept is

Step-by-step explanation:

To complete the square of

−

3

x

2

+

4

x

−

3

:

Take out the

−

3

y

=

−

3

(

x

2

−

4

3

x

)

−

3

Within the brackets, divide the second term by 2 and write it like this without getting rid of the second term:

y

=

−

3

(

x

2

−

4

3

x

+

(

2

3

)

2

−

(

2

3

)

2

)

−

3

These terms cancel each other out so adding them to the equation isn't a problem.

Then within the brackets take the first term, the third term, and the sign preceding the second term, and arrange it like this:

y

=

−

3

(

(

x

−

2

3

)

2

−

(

2

3

)

2

)

−

3

Then simplify:

y

=

−

3

(

(

x

−

2

3

)

2

−

4

9

)

−

3

y

=

−

3

(

x

−

2

3

)

2

+

4

3

−

3

y

=

−

3

(

x

−

2

3

)

2

−

5

3

You can conclude from this that the vertex is

(

2

3

,

−

5

3

)

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