SOLUTION: How would I find the equation of a parabola whose vertex is (0,0) and two other points are (1,-2) and (-1,-2)?

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Question 1106268: How would I find the equation of a parabola whose vertex is (0,0) and two other points are (1,-2) and (-1,-2)?
Found 2 solutions by josgarithmetic, math_helper:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
This equation should fit y=ax^2, and a<0. Use either given point to find a.
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

The vertex form of a parabola is where (h,k) = coordinates of the vertex
The vertex is given to be at (0,0), simplifying the above to
Picking one of the other two points (1,-2) allows us to find a:

—>
Since a<0, the parabola opens downward

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