SOLUTION: Write a quadratic function that fits each set of points. (0,1) (2,-1) (3,-8)
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Question 809284: Write a quadratic function that fits each set of points. (0,1) (2,-1) (3,-8)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The general quadratic function is
\ =\ ax^2\ +\ bx\ +\ c)
so if the graph of the desired quadratic function passes through (0,1), then the value of the function when the independent variable has a value of zero is 1, in other words:
\ =\ a(0)^2\ +\ b(0)\ +\ c\ =\ 1)
which is to say
Using the coordinate values from the other two given points write two other three-variable linear equations in a, b, and c so that you create a 3X3 system. Solve the system and you will have the three coefficients for your function.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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