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 | 27th Feb, 2015, 01:20: PM

Expert Answer:

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  | 27th Feb, 2015, 03:20: PM