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Binomial Theorem
Question
Find the equation of the parabola that satisfying the following condition:
Vertex at (0,0), symmetrical about y-axis and passing through the point (2, –3)
Solution
The vertex of the parabola is at (0, 0) and it is symmetrical about the y-axis.
∴ The axis of the parabola is y-axis (x = 0)
The equation of the parabola is 
...(i)
Since it passes through the points (2, -3)
∴ 
Hence, from (i), the equation of the parabola is: 
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