Given
The parabola,
To find:
The equation of the parabola.
Explanation:
It is given that,
Since the parabola is open rightwards and its vertex is (0,0).
Then, the equation of the parabola is given by,
[tex]y^2=4ax[/tex]
That implies,
[tex]\begin{gathered} y^2=4ax \\ x=\frac{y^2}{4a} \\ x=\frac{1}{4a}y^2 \end{gathered}[/tex]
Since a=3,
Then,
[tex]\begin{gathered} x=\frac{1}{4\times3}y^2 \\ x=\frac{1}{12}y^2 \end{gathered}[/tex]
Hence, the equation of the parabola is, x=(1/12)y².
