SOLUTION: Find the equation of the parabola in the form of y = a(x-p)(x-q), given the points are (-2,21), (-1,0) and (5,0).

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Question 1118696: Find the equation of the parabola in the form of y = a(x-p)(x-q), given the points are (-2,21), (-1,0) and (5,0).
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39799)   (Show Source): You can put this solution on YOUR website!
Two of the given points are the zeros.



The other, non-root point, will establish the leading coefficient.





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Answer by MathTherapy(10810)   (Show Source): You can put this solution on YOUR website!

Find the equation of the parabola in the form of y = a(x-p)(x-q), given the points are (-2,21), (-1,0) and (5,0).
y = a(x – p)(x – q)
Substitute - 1 for p, 5 for q, and (- 2, 21) for (x, y) in the above equation.
This should result in a = 3
Then substitute 3 for a, - 1 for p, and 5 for q in the above equation.
Correct equation:
IGNORE all other USUAL WRONG answers!
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