## anonymous one year ago y=x2-14x+44 find the domain and range, and the vertex of the following parabola. Show all work? Help?

1. anonymous

@laughoutloud

2. anonymous

hey do want to know how to do it or just the answer either way doesn't matter to me

3. anonymous

Well, everytime I try to solve the vertex my teacher keeps saying its wrong. So I need help with that. Also with the whole domain and range thing.

4. iGreen

@laughoutloud By the looks of his username, I think he wants to learn how to do it instead of just getting an answer.

5. anonymous

Yeah, I'd love to learn how to do it XD

6. anonymous

ok, to find the vertex you need to use the formula $\frac{ -b }{ 2a }$

7. anonymous

Alright. So do I plug the x^2 into the 2a or the -b?

8. anonymous

9. anonymous

and the -14 into the -b?

10. anonymous

you plug in $\frac{ 14 }{ 2 }$

11. anonymous

OK.

12. anonymous

That'd make X a 7?

13. anonymous

yes so x = 7 now you have to find the y value.

14. anonymous

What do you think you have to do?

15. anonymous

Alright, so I just plug 7 into all the X values

16. anonymous

yes

17. anonymous

Okay... Lemme solve it real quick

18. anonymous

y=(7)^2 - 14(7) + 44 y = 49 - 98 + 44 y = -49 + 44 y = -5 Is this correct?

19. anonymous

yes, I got the same

20. anonymous

so the vertex is?

21. anonymous

So, for the vertex it's (7, -5) right?

22. anonymous

yes

23. anonymous

Alright, how do we find the domain / range?

24. anonymous

the domain is going to be all of the x-values when this is graphed do you reach all of the x's eventually its kinda hard to explain

25. anonymous

That probably doesn't make sense

26. anonymous

Yeah... That's where I'm confused.

27. anonymous

Ok domain is all real

28. anonymous

Okay, sorry to trouble you more about the question... But sense I do all this stuff online and I'm just reading the stuff... How might I find the real numbers to explain to a teacher?

29. anonymous

sorry I'm not very good at explaining @carolinar7

30. anonymous

Alright, so.... Can you tell me how you got to your answer perhaps? @laughoutloud?