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Mathematics 15 Online
dontsaymyname:

Math Question, please help!!! o_o Picture Attached

dontsaymyname:

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dontsaymyname:

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MxxnLight:

A?

dontsaymyname:

Yeah but I need an equation lol thxs tho :)

MxxnLight:

Idk.

MxxnLight:

Oh, Np.

mxddi3:

have you asked darkknight? he's pretty good

dontsaymyname:

He's looking lol, but he might be busy

mxddi3:

oh yh lol there he is

darkknight:

Alright, 3 points, you can get a quadratic function. Any quadratic function goes through 3 points. What I mean is that a quadratic function can be drawn through any 3 points. So your answer is a Quadratic model does exist.

darkknight:

Now to find the equation of the quadratic, you need to solve for a b and c, in the form ax^2+bx+c Here is how we do that So we plug in values of x into x, and the corresponding y values into y.

darkknight:

So... \[a(0)^2+b(0)+c = 2\] \[a(2)^2+b(2)+c = -2\] \[a(-1)^2+b(-1)+c = -5\]

darkknight:

Those above are your three equations, what do we want to do next?

dontsaymyname:

Simplify?

darkknight:

yes, that is what we do next So can you simplify the above equations for me?

dontsaymyname:

Sure 1 sec

dontsaymyname:

C=2 C= -2 - 4a - 2b C= -5 - a + b

darkknight:

alright, so now we can use substitution we can say that 2 = -2-4a-2b so then 4= -4a-2b we can also say 2 = -5 -a+b so then 7 = -a+b We have 2 equations 7=-a+b is the same as 14 = -2a+2b Now we have 14 = -2a+2b and 4 = -4a-2b We can add _______________- 18 = -6a And now a =-3

dontsaymyname:

Super srry i gotta go, but ill login on my phone super srry Thx u smm again

darkknight:

Now we know C= -5 - a + b We know c=2 and a=-3 So then 2 = -5 - (-3) +b

darkknight:

Can you solve for b?

darkknight:

@dontsaymyname

darkknight:

Alright, 2 = -5 - (-3) +b B would just be 4. So a = -3, b = 4 and c=2 plug into ax^2 + bx +c = y

darkknight:

if u are stuck anywhere ask away!

dontsaymyname:

Omg, thank you so much, @darkknight, so very sorry, I had to help cook and then my phone died, but I thank you so very much for helping me out multiple times like frfr, I might need more help later tonight, r u good with consumer math? Again thx u smm

darkknight:

np,

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