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Find the equation of the parabola with vertex (0,0), passing through the point (4,5) and symmetric about the x - axis.
Asked by Topperlearning User | 27 Feb, 2015, 01:20: PM

Since the parabola is symmetric about the x axis, it is of the form y2 = 4ax.

Hence it passes through the point (4,5), the co-ordinates should satisfy the equation of the parabola

Hence replace x = 4, and y = 5 in the equation y2 = 4ax, we get 25 = 4 a 4 a = 25/16.

Hence the equation of the parabola is y2 = 25x/16 or 16y2 = 25x

Answered by | 27 Feb, 2015, 03:20: PM

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