Question

Question 9 of 10Which of the equations below could be the equation of this parabola?10-10(0,0)+11Vertex-10

Answer 1

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,

$y^2=4ax$

That implies,

$\begin{gathered} y^2=4ax \\ x=\frac{y^2}{4a} \\ x=\frac{1}{4a}y^2 \end{gathered}$

Since a=3,

Then,

$\begin{gathered} x=\frac{1}{4\times3}y^2 \\ x=\frac{1}{12}y^2 \end{gathered}$

Hence, the equation of the parabola is, x=(1/12)y².