A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1What are you supposed to do with this? Graph it?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1What then? You haven't posted the directions.

shivraj
 2 years ago
Best ResponseYou've already chosen the best response.1how to complete a square

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Hint: Since y = f(x), rewrite it like this: \(y = 3x^2 + 3x  11\) Next add 11 to both sides, then divide divide both sides by 3 to get: \(\frac{y + 11}{3} = x^2  x\) Now add \(\frac{1}{16}\) to both sides to get: \(\frac{y + 11}{3} + \frac{1}{16} = x^2  x + \frac{1}{16}\) Once you have finished reducing, you should have a new expression for y

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1The final result I get comes out to \(y = \large\frac{48(x\frac{1}{4}^2)  3}{16}  11\)

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1But that hasn't been simplified

Romero
 2 years ago
Best ResponseYou've already chosen the best response.0How is that better than what he wrote originally?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Because it said to complete the square

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Once you complete the square, you have to put it back in the form y =

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1But let me fix one minor mistake

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1\(y = \large\frac{48(x\frac{1}{4})^2  3}{16}  11\)

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Ideally, I think you would want to express that as just one fraction.

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Well, I did most of the work for you. You can finish the rest.

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Also, you might want to change y back to f(x)

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1\(f(x) = \large3(x\frac{1}{4})^2  \frac{179}{16}\)

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1I must have made a calculation mistake because here's wolfram alpha's result: http://www.wolframalpha.com/input/?i=complete%20square%20(%5B%2F%2Fquantity%3A3%2F%2F%5D)x%5E2%2B(%5B%2F%2Fquantity%3A13%2F%2F%5D)x%2B(%5B%2F%2Fquantity%3A11%2F%2F%5D)

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Yeah, I see where I went wrong. I added 1/16 to both sides instead of adding 1/4 to both sides
Ask your own question
Ask a QuestionFind 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.