SOLUTION: Please help me find this equation: Find the equation of the vertical parabola passing through (0,-6);(1,-3);(2,6).

SOLUTION: Please help me find this equation: Find the equation of the vertical parabola passing through (0,-6);(1,-3);(2,6).

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Question 325939: Please help me find this equation: Find the equation of the vertical parabola passing through (0,-6);(1,-3);(2,6).
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The equation of a general parabola with a vertical axis of symmetry is:

Substituting the coordinates of the first given point:

Substituting the coordinates of the second given point:

Substituting the coordinates of the third point:

Substituting the value we have determined for c:

and

Now just solve the 2 X 2 system:

and you will have all three coefficients to fill in the general equation:

John

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