Answer: Hello mate!
A simple quadratic equation has the form y = kx^2, where k is the constant of variation.
Our equation is 6y = 4x^2
The first thing we should do is isolate y on one side of the equation, dividing by 6 on both sides:
y = (4/6)x^2 = (2/3)x^2
then in our equation, y = (2/3)x^2, the constant of variation is 2/3.
Then the right answer is the second option.