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HeroBest ResponseYou've already chosen the best response.1
What are you supposed to do with this? Graph it?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
What then? You haven't posted the directions.
 one year ago

shivrajBest ResponseYou've already chosen the best response.1
how to complete a square
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Hint: 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
 one year ago

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

HeroBest ResponseYou've already chosen the best response.1
But that hasn't been simplified
 one year ago

RomeroBest ResponseYou've already chosen the best response.0
How is that better than what he wrote originally?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Because it said to complete the square
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Once you complete the square, you have to put it back in the form y =
 one year ago

HeroBest ResponseYou've already chosen the best response.1
But let me fix one minor mistake
 one year ago

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

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

HeroBest ResponseYou've already chosen the best response.1
Well, I did most of the work for you. You can finish the rest.
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Also, you might want to change y back to f(x)
 one year ago

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

HeroBest ResponseYou've already chosen the best response.1
I 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)
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Yeah, I see where I went wrong. I added 1/16 to both sides instead of adding 1/4 to both sides
 one year ago
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