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.

Step-by-step 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=(y^2)/(4a) \\ x=(1)/(4a)y^2 \end{gathered}`

Since a=3,

Then,

`\begin{gathered} x=(1)/(4*3)y^2 \\ x=(1)/(12)y^2 \end{gathered}`

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