A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Y=16t^2+48t+15. Write in vertex form,I don't know why, but my algebra teacher said to divide all the numbers by 16, EXCEPT 15. Any help?
anonymous
 4 years ago
Y=16t^2+48t+15. Write in vertex form,I don't know why, but my algebra teacher said to divide all the numbers by 16, EXCEPT 15. Any help?

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you have to bring the 15 over to the other side first, THEN factor out the 16

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0y  15 = 16(t^2  3t) then...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you have to make that binomial in the parentheses a perfect square trinomial, to do this we take .5 the b term and square it, so .5 of 3 is 1.5, then that squared is our new c term which is 2.25

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i know that but i was just confused on why you don't divide?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0then we take the new c term multiplied by the number we factored out (16) and put that number on the other side (do not do reverse operations here, if it is negative, you subtract not add). So 2.25 x 16 is 36. So the new y  15 is now y  15  36 or y  51

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you dont divide in this, you just factor out the 'a' term, it is like division, but we do not get rid of it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok i get it thank you!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You're welcome, if you need any more help just let me know.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok i understand that you have to multiply by 16 and why, but won't that affect the perfect trinomial? or will it turn into: \[(16)t ^{2}3t+2.25=51\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1you dont need to factor out all the numbers, just the t values will do

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1\[y=16t^2+48t+15\] \[y=(16t^2+48t)+15\] \[y=16(t^23t)+15\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1the rest of it is completing the square on your t parts

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0did i doit right then?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1hmm, (3/2)^2 = 9/4 sooo..... \[y=16(t^23t+\frac{9}{4})(16)(\frac{9}{4})+15\] \[y=16(t\frac{3}{2})^2+36+15\] \[y=16(t\frac{3}{2})^2+51\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1yeah, it looks like you did it good

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yay, ok so how would i turn this in to vertex form?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1the final result IS vertex form

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but i thought you would just get a "plus or minus this" answer

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1thats not vertex, that + stuff is solving for the roots

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1vertex form is the equation using the vertex as a part of the equation

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ik, i need to find h and k now

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1\[y=a(xh)^2+k\] \[y=16(x\frac{3}{2})+51\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1forgot to put my ^2 on there :/

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes i have this so far, so now would i square root everything?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1.... its always best that when you get to the end, to stop lol

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh i got negative 51...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0don't you subtract 15, which turns it negative, and then you take half of 3 and square it which is 2.25. 2.25 times 16 is 36. Don't you then add 36 to negative 15 and get 21?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.