## MoreFlares Group Title Can anyone explain how to solve this problem? If you would like any graphic design work or video editing in exchange for a lesson I am a graphic designer. Skype: mrpfister229 Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form one year ago one year ago

1. MoreFlares

This is the question if the that format threw you off - Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form

2. asnaseer

do you know what the vertex form for a parabola looks like?

3. MoreFlares

y = a(x-h)^2 +k

4. asnaseer

good - now in this form (h, k) represent the coordinates of the vertex

5. MoreFlares

If I click best response does it say I understand now? or is t just best response so far

6. asnaseer

and you have been given those in the question

7. asnaseer

(its just best response so far)

8. asnaseer

(you would click on Close to close the question once you are satisfied with any answer)

9. MoreFlares

oh ok, so are you explaining to me how to do this problem itself or just a over view of this concept?

10. asnaseer

I am trying to /guide/ you to the solution :)

11. MoreFlares

alright awesome :)

12. asnaseer

so your first step is to identify what values to substitute for h and k. can you tell me what they should be?

13. MoreFlares

So the Vertex is: (-4,7) and a point it passes through is (-3,8)

14. MoreFlares

So h is -4

15. MoreFlares

and k is 7?

16. asnaseer

correct - well done! now next step is to substitute those values into the equation.

17. MoreFlares

y = a(x+4)^2 +7 (I changed the 4 to a positive, would that be correct since it was already a negative?)

18. asnaseer

perfect! now notice that you just have one unknown left - the variable 'a'

19. MoreFlares

So solve for a? :/ or would I somehow sub in either the -3 or 8?

20. asnaseer

you are thinking along the right lines - substitute the values for x and y that are given to you (-3, 8) into the equation and use that to find 'a'

21. MoreFlares

or would I sub that in for x,y? to solve for a

22. MoreFlares

oh ok

23. asnaseer

have you solved for 'a' yet?

24. MoreFlares

using PEMDAS

25. asnaseer

yes

26. MoreFlares

a=1

27. asnaseer

bingo! so what is your final equation?

28. MoreFlares

Im kinda confuesed now haha :/ do plug in 1 for a in this equation? 8=1(-3+4)^2+7

29. asnaseer

you need to plug-in a=1 into this equation:\[y=a(x+4)^2+7\]

30. MoreFlares

So y = (x + 4)^2 + 7

31. asnaseer

the one you just gave was using the fact that it passes through the point (-3, 8), so you had substituted x=-3 and y=8 to solve for a.

32. asnaseer

yes - that is the correct final answer. well done again :)

33. MoreFlares

What did you mean by this? the one you just gave was using the fact that it passes through the point (-3, 8), so you had substituted x=-3 and y=8 to solve for a.

34. asnaseer

up there when you said: Im kinda confuesed now haha :/ do plug in 1 for a in this equation? 8=1(-3+4)^2+7

35. MoreFlares

and thank you so much for your help! :)

36. MoreFlares

oh yeah

37. asnaseer

yw :)

38. MoreFlares

yh :D (you're helpful) lol

39. asnaseer

my pleasure :D

40. MoreFlares

Can I give you any ratings?

41. MoreFlares

stars? feedback? cause you deserve it

42. asnaseer

this site is using the concept of SmartScore. So as you ask and help out with other peoples questions, your smartscore goes up. It's actual calculation is a mystery but it basically depends on how helpful you are on this site, how much you engage with other users, etc.

43. asnaseer

and thank YOU for your kind comments - it is always a pleasure to teach someone who really appreciates "learning".

44. MoreFlares

Oh no problem :) and I bet you developed the formula for the calculations :P "Ask a question: Can anyone develop a top secret and mysterious formula for this site? We're are going to need a genius!!! lol

45. asnaseer

lol! No it wasn't me - the Admins of this site take care of that aspect.