Question

Find the equation of parabola if vertex $(0,0)$ passing through $(2,3)$ and axis is along $x-axis$.

Answer 1

Axis is along with x-axis

$\therefore$ equation of parabola

$y^2=4ax.....\left(\right(0,0)$ is vertex

$\therefore 9=4a\left(2\right)$

$\therefore 4a=\frac{9}{2}$

$\therefore$ equation of parabola

$y^2=\frac{9x}{2}$.