Question

11. Vertex (0,0) passing through (2,3) and axis is alongx-axis.

Answer 1

Given, vertex of parabola is ( 0,0 ) and parabola passes through the point (2,3) and the axis is along x axis.

Since the axis of parabola is x axis, the equation of the parabola is either y 2 =4ax or y 2 =−4ax

Parabola passes through the point (2,3) which lies in first quadrant, so parabola is of the form y 2 =4ax (1)

Since (2,3) passes through parabola, it satisfies the equation of the parabola.

y 2 =4ax 3 2 =4×a×2 a= 9 8

Substitute the value of a in equation (1)

y=4× 9 8 ×x y 2 = 9 2 x 2 y 2 =9x

Thus, the equation of the parabola with vertex (0,0) passing through (2,3) and axis along x axis is 2 y 2 =9x .