NotCheatinglol
  • NotCheatinglol
Find a quadratic model for the set of values: (-2, -20), (0, -4), (4, -20).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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NotCheatinglol
  • NotCheatinglol
@Nnesha
Error1603
  • Error1603
ok
NotCheatinglol
  • NotCheatinglol
i will give prizes<3

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NotCheatinglol
  • NotCheatinglol
|dw:1446566969768:dw|
NotCheatinglol
  • NotCheatinglol
Whats the first step?
zpupster
  • zpupster
Use the quadratic model y=ax^2+bx+c to solve problem use the second x,y pair and plug in (0,-4) -4=a(0)^2 + b(0) + c c=-4 do this for the next 2
NotCheatinglol
  • NotCheatinglol
wait so wouldnt the others be -20 and -20?
NotCheatinglol
  • NotCheatinglol
or was that just a weird circumstance?
zpupster
  • zpupster
(-2, -20) set up the equation again -20 = a(-2)^2 + b(-2) -4 notice we already know c=-4
NotCheatinglol
  • NotCheatinglol
Do you combine like terms
zpupster
  • zpupster
(4, -20) -20 = a(4)^2 + b(4) -4 notice we already know c=-4
NotCheatinglol
  • NotCheatinglol
Im having trouble solving the equation
zpupster
  • zpupster
ok we have to eliminate one of the variable to get a or b we do this by multiplying an equation by a number -20 = a(-2)^2 + b(-2) -4 lets simplify this add 4 to both sides and sqaure -2 -16 = 4a - 2b and -20 = a(4)^2 + b(4) -4 smae -16 = 16a + 4b here are those equations lined up what would you mult by to eliminate a variable??? -16 = 4a - 2b -16 = 16a + 4b
NotCheatinglol
  • NotCheatinglol
Im sorry man but im sure if i wasnt so stupid right now it would make sencexD sorry for wasteing your time man
zpupster
  • zpupster
well can you tell me what lost you i could explain a little more in detail
NotCheatinglol
  • NotCheatinglol
here are those equations lined up what would you mult by to eliminate a variable??? -16 = 4a - 2b -16 = 16a + 4b this part
zpupster
  • zpupster
sure let me go ahead you will see then i am sure -16 = 4a - 2b if we multiply this equation by 2 and then add to second eqaution we eliminate the b and then we can solve for a -16 = 16a + 4b -32 = 8a - 4b -16 = 16a + 4b ---------------- -48 =24a +0 now we divide both sides by 24 -2=a if i did that right a=-2 and c=-4
NotCheatinglol
  • NotCheatinglol
y=-2x^2+bx+-4
NotCheatinglol
  • NotCheatinglol
ssomthing like that
zpupster
  • zpupster
take the -2 and substitute back in an equation to get b -16 = 16(-2) + 4b -16 = -32 +4b add 32 both sides 16 = 4b divide both sides by 4 b=4 c=-4 and a =-2 our model is 0=-2a^2+4b - 4 if we did it right.
zpupster
  • zpupster
do have a question on what we did?
NotCheatinglol
  • NotCheatinglol
No man after what i read and pluged it in the equation it turned on a light buld Thanks!
zpupster
  • zpupster
cool!
zpupster
  • zpupster
the (x,y) points fall on our quadratic model, that is a sign we did it right see the graph
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