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What is the vertex for the function? (You will want to find the axis of symmetry first.) Write as an ordered pair, leaving no spaces, such as (1,4).
y = 3x2 + 6x
 one year ago
 one year ago
What is the vertex for the function? (You will want to find the axis of symmetry first.) Write as an ordered pair, leaving no spaces, such as (1,4). y = 3x2 + 6x
 one year ago
 one year ago

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EyadBest ResponseYou've already chosen the best response.1
use the square to convert to a vertex form ,y=a(xh)^2+k
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
I guess we're not making sense, @UmarsBack
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
you really arent :c idk what im suppsoed to do.
 one year ago

EyadBest ResponseYou've already chosen the best response.1
its like : ax^2+bx+c the vertex is on the axis of symmetry: b/2a when x= b/2a we find y in this case 3x^2 +6x +0 gives us: a=3 b=6 so when x=1; we get y= 3+6
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
So what i gotta do? sorry for my stupidity.
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
okay let us do some reading ..
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
http://finedrafts.com/files/math/precal/Larson%20PreCal%208th/Larson%20Precal%20CH2.pdf
 one year ago

EyadBest ResponseYou've already chosen the best response.1
x=b/2a in this case 3x^2 +6x +0 gives us: a=3 b=6 Which mean x=6/6= +1 ! y=3+6= 3 Vertex = (1,3) =============
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Im completely clueless guys.
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
can you read pp 126131?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
I just want you to be acquainted with the terms and definitions
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Yes im reading right now. again, sorry for my stupidity.
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
@nincompoop im doneee
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
so what did you learn?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
eyad's information should make sense by now...
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Quadratic function = f(x) = ax^2 + bx + c
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
yes, that is the format of your equation at the moment. now, to help you identify the vertex of the parabola (graph of quadratic) you need to covert it into standard form of quadratic function
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
your vertex then is going to be the h and k
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
there are a few things you need to be good at like completing the square and factoring so you can solve this even mentally
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
do you know how to complete the square yet?
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
wheres the h and k? and no :c
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
hehe this is going to be tough… so even eyad's info doesn't make sense right now?
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Im tryna understand >_<
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
should i go to khan academy?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
you can, but it's in the textbook and eyad pretty much gave the answer already
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
you know i hate reading lmfao. i read the text book tho. im brain dead right now.
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
okay let us try this the long way so you understand the whole concept quadratic function f(x) = ax^2 + bx + c; f(x) is the same as "y" so this is what you have: y = 3x2 + 6x; this is the same as y = 3x2 + 6x + 0 (the equation you were given has + 0 omitted) this means that: a = 3 b = 6 c = 0 I need to know that you read and fully grasp this part
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Omfg i understand it way more now.
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
good, now recall the figures in the text book about vertex? I attached it so you can recall them
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
good! we are making a progress here. keep in mind about vertex being either the lowest point or the highest point lowest point if a>0, which means the parabola opens upward highest point if a<0, which means the parabola opens downward the reason I want you to keep this in mind because the terms minimum and maximum give you the same definition in terms of the value of a recall your equation:y = 3x2 + 6x does this mean that your parabola opens upward or downward?
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
The parabola opens upwards?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
I want you to be certain of your answer. Only when you are confident that we are able to move on…
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
I made the figure bigger so you won't miss any detail
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Its downward. right?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
with your equation y = 3x2 + 6x I mentioned this: a = 3 b = 6 c = 0 and I also mentioned this: lowest point if a>0, which means the parabola opens upward highest point if a<0, which means the parabola opens downward ask yourself this question: is the value of a less than or greater than zero? greater than zero gives you an upward parabola less than zero gives you a downward parabola
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Its upward, because the value is greater than 0
 one year ago

EyadBest ResponseYou've already chosen the best response.1
Btw @nincompoop ,After you finish you may Compile all your comments and post it in a one post ,IT would be a good tutorial Including the example .
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
awesome! now you seem more confident. now, let us move on understanding the standard form of a quadratic function I attached some information for you to reread (since you said you read it earlier)
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
keep in mind that the values of your a, b, and c have not changed. they are still a = 3 b = 6 c = 0
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Okay im still with you.
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Okay continue. youre the teacher here.
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
now, we need to try to rearrange your y = 3x^2 + 6x into the standard form of quadratic function, we can achieve it by completing the square, which for now will look like: factor 3 out of xterms \[y=−3(x^22x)+0\] I included the value of c for the purpose of showing you what it would look like, but since our c is zero we can ignore it. do you know how to proceed or know how to complete the square?
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
I dont know how to complete the square :c
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
it is now the time to learn one way is to divide the value of b by 2, and then square it but things could get more complicated than that so you will need to read and familiarize yourself http://www.mathsisfun.com/algebra/completingsquare.html or this http://www.purplemath.com/modules/sqrquad.htm
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
6/2= 3 2(3) ? like that?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
yes, remember that you have to square it after you divide it by 2
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
so \[\left( \frac{ b }{ 2 } \right)^2\] \[\left( \frac{ 6 }{ 2 } \right)^2=3^2=?\]
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
It equals the same thing right? 6?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
\[3^2=3\times3=?\] to square is to multiply the multiplicand by itself twice
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
so your multiplier is also 3
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
did you read the contents of the links regarding completing the square I provided earlier?
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Not yet. let me read it now.
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
x2 + bx + (b/2)2 = (x+b/2)2 < thats how you complete the square?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
so this is where we left off: \[y=−3(x^2−2x)+0\] we need to complete the square of what is in the parenthesis our b is 2 \[\left( \frac{ 2 }{ 2 } \right)^2=1^2=?\]
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
WAKE UP!!! 1 multiplied by itself is 1 this is what we will yield: \[y=3(x^22x+11)\] After adding and subtracting 1 within the parentheses, you must now regroup the terms to form a perfect square trinomial. The 1 can be removed from inside the parentheses; however, because of the 3 outside of the parentheses, you must multiply 1 by 3 this is what it would look like: \[y=3(x^22x+1)3(1)\] 3(1) = 3 if you are still with me, we just solved the value of k this confirms one of @eyad's solution earlier k being 3 next step is to factor what is in the parenthesis \[(x^22x+1) \] turns into: \[(x1)^2\]
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
can you guess the value of h?
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
that is super awesome! our rewritten quadratic function form looks like this: \[y=3(x^21)^2+3\] \[y=a(x^2h)^2+k, where: a \neq0\] vertex: (h,k) ((1), 3) or (1,3)
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
does this look like eyad's answer?
 one year ago

UmarsBackBest ResponseYou've already chosen the best response.0
Hahaha wo i cant believe i understand this now. it looks like eyads answer. thanks alot nin omfg.
 one year ago

nincompoopBest ResponseYou've already chosen the best response.2
btw a few notes to consider: \[1^2 = (1)^2=1\] earlier, I should have typed \[(1)^2=1\] \[1\times1=1\] negative multiplied by a negative yields a positive
 one year ago

EyadBest ResponseYou've already chosen the best response.1
A good teacher can inspire hope, ignite the imagination, and instill a love of learning.
 one year ago
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