SOLUTION: how do I find an equation of the parabola that contains the points
(-3,7), (2,9), (6,-2)
Algebra.Com
Question 486178: how do I find an equation of the parabola that contains the points
(-3,7), (2,9), (6,-2)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
An equation for a parabola can take the form:
\ =\ ax^2\ +\ bx\ +\ c)
Any ordered pair \right))
will satisfy the equation, so given that )
is a point on the parabola:
^2\ +\ b(-3)\ +\ c\ =\ 7)
Which is to say:
Likewise you can derive:
and
Solve the system of equations to obtain the coefficients of your parabolic function.
John
My calculator said it, I believe it, that settles it
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