FAN AND MEDAL
find a quadratic function in standard form for each set of points (0,-4), (1,0), (2,2)
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OpenStudy (ccastudentgrade10):
@xMissAlyCatx @texaschic101 @dayakar @zepdrix
OpenStudy (xmissalycatx):
Do you know what quadratic function and standard form are?
OpenStudy (ccastudentgrade10):
yes, i learned them a long time ago but idk how to make these points like them
OpenStudy (xmissalycatx):
OpenStudy (ccastudentgrade10):
im v confused @xMissAlyCatx
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OpenStudy (ccastudentgrade10):
how do i get a b and c?
OpenStudy (xmissalycatx):
@Compassionate @ParthKohli
I honestly don't know how to explain this so here you go..
OpenStudy (ccastudentgrade10):
anyone? i really need help with this @texaschic101 @dayakar @zepdrix
OpenStudy (dayakar):
\[y = ax ^{2}+bx +c\]
OpenStudy (ccastudentgrade10):
okay but i still dont understand how you get a, b, and c
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OpenStudy (dayakar):
(x1,y1) =(0, -4), (x2, y2) =(1,0) , (x3,y3) = (2,2)
plug each one in the above equation
u can get 3 equations
OpenStudy (dayakar):
-4 = a* 0^2 +b*0 +c[ plug in first one]
-4 =c
c= -4 -------(1)
OpenStudy (dayakar):
do u understand
OpenStudy (dayakar):
plz , respond
OpenStudy (dayakar):
0 = a*1^2 +b* 1 +c [ plug in second in the equation]
0 = a+ b -4 [ from (1) c= -4] ------(2)
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OpenStudy (ccastudentgrade10):
sorry my wifi was glitching
OpenStudy (dayakar):
2= a*2^2 + b*2 +c [ plug in third]
2 = 4a +2b -4 [ from (1) ,c= -4]
divide each term with 2
u can get
1= 2a +b -2 -----(3)
subtract (2) from (3)
u can get a value
OpenStudy (ccastudentgrade10):
1?
OpenStudy (ccastudentgrade10):
@dayakar
OpenStudy (ccastudentgrade10):
so does b = 1
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OpenStudy (dayakar):
a= -1
OpenStudy (dayakar):
plug a=-1 in (2)
OpenStudy (dayakar):
is it clear
OpenStudy (ccastudentgrade10):
im confused where im plugging in a =-1
OpenStudy (ccastudentgrade10):
c = -4 right
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OpenStudy (dayakar):
equation (2)
0= a+b-4
OpenStudy (ccastudentgrade10):
0=b-5?
OpenStudy (dayakar):
we get c = -4 very beginning of the solution
OpenStudy (ccastudentgrade10):
okay, so does b = 5?
OpenStudy (dayakar):
0 = -1 +b -4
0= -5+b
5=b
b=5
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OpenStudy (dayakar):
there fore a= -1, b= 5, c=-4
write in the standard form
y= ax^2+bx+c
y= -1x^2 +5x-4