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anonymous
 one year ago
I can't figure this one out.. MEDAL AND FAN FOR ANYONE WHO CAN UNCONFUZZLE ME!!
For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.
anonymous
 one year ago
I can't figure this one out.. MEDAL AND FAN FOR ANYONE WHO CAN UNCONFUZZLE ME!! For the function f(x) = –(x + 1)2 + 4, identify the vertex, domain, and range.

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Loser66
 one year ago
Best ResponseYou've already chosen the best response.0open parentheses, what do you have for f(x) ?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0\(f(x) = (x+1)^2 +4\) redo, please. Use Foil

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x+5? after you simplify ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do you find out the range aswell I vaguely remember

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0\((x+1)^2 =(x+1)(x+1)\) ,using Foil to open parentheses

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ya I forgot you had to do that with squared binomials

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0Yup, don't forget, before them, you have  sign, after them you have +4 now, put all in, what do you get for f(x) ??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Where did you get the +4 from?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0From the original problem.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh ok, did I mess up the foil? You said something about a negative and when I plugged 4 into \[x ^{2}+2x+1 \] I got 25 and that's not one of the choices for the ycoordinate and it doesn't really make sense

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0\(f(x) = \huge \color{red}{} (x+1)^2 +4\\~~~~~~~~~~=\huge\color{red}{} (x^2+2x+1)+4\\=\huge x^22x1+4\) ok??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0YES got it :) but how bought the range? Ik the domains gunna be all real numbers

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0wait, simplify it, please.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0don't know??? why?? 1+4 =?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0yes, so that \(f(x) =x^22x+3\) right?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0From this, the REAL process starts.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0what are a, b, c on it?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0yup, hence the vertex has xcoordinate is \(x= b/2a\) , hence x =??

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0\(x=\dfrac{b}{2a}=\dfrac{2}{2*(1)}=??\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the vertex is 1,4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0TY FOR HELPING ME FIGURE HAT PART OUT :)))) but how do I know what the range is going to be?

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0to it, when you have vertex, and the parabola is downward, hence the range is from  infinitive to ycoordinate of the vertex.
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