SOLUTION: The curve y=ax�+bx+c passes (2,5), (3,12) and (-1,-4). Find the equation of the curve.

Question 959876: The curve y=ax�+bx+c passes (2,5), (3,12) and (-1,-4). Find the equation of the curve.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

passes (,), (,) and (,)
use given points, set the system of three equations, solve it for ,, and
.....for (,)

..............eq.1

.....for (,)

..............eq.2

.....for (,)

..............eq.3
so, your system is:
..............eq.1
..............eq.2
..............eq.3
---------------------------------
subtract eq.1 from eq.2

......solve for
.........substitute in eq.3

..............eq.3

.........solve for

go to ..............eq.1 substitute and
...........solve for

now find and

so, your equation is:

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