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shivraj
 3 years ago
f(x)=(3x^2)+13x11
shivraj
 3 years ago
f(x)=(3x^2)+13x11

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

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

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

Hero
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1But that hasn't been simplified

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

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

Hero
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1But let me fix one minor mistake

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

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

Hero
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.1Also, you might want to change y back to f(x)

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

Hero
 3 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
 3 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
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