TherapyDuck
TherapyDuck TherapyDuck
  • 09-07-2017
  • Mathematics
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What is the equation of the graph?
(Do not use any spaces. use ^ to represent exponents. Example 2^3 is 23.)


What is the equation of the graph Do not use any spaces use to represent exponents Example 23 is 23 class=

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irspow
irspow irspow
  • 09-07-2017
We have points (-1,3),(0,1),(1,3) so we can set up a system of equations for the general form ax^2+bx+c...

a+b+c=3, 0a+0b+c=1, a-b+c=3  getting differences

a+b=2, -a+b=-2  getting the sum

2b=0, b=0, making a+b=2 become:

a+0=2, a=2, making a+b+c=3 become:

2+0+c=3, c=1 so

y=2x^2+1
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