Q. 114.1( 44 Votes )

In each of

Answer :

Since, the vertex is (0, 0) and the axis of the parabola is the x-axis, the equation of the parabola is either of the from y2=4ax or y2 = -4ax.


The parabola passes through point (2, 3), which lies in the first quadrant.


Thus, the equation of the parabola is of the form y2 = 4ax, while point (2, 3) must satisfy the equation y2 = 4ax.


Thus,


32 = 4a(2)


a = 9/8


Thus, the equation of the parabola is




2y2 = 9x


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