Explanation:
The graph represents the parabola with axis of symmetry is horizontal.
So, the equation of the horizontal parabola is given as,
[tex]x=ay^2+by+c[/tex]
c is x-intercept. If a is positive, the graph opens to the right, and if a is negative, the graph opens to the left.
From the graph, it is observed that the graph opens to the right.
So, a must be positive, and x-intercept is (0,0) it gives values of c is zero.
From all the above discussion, the equation that represents the equation of parabola is,
[tex]x=\frac{1}{6}y^2[/tex]
Answer: option A)
