Let's try to solve for y in terms of x.
First, we can simplify the equation by bringing all the x^2 terms to one side and all the constant terms to the other side:
x^2 - 9x^2 = 7y - 4
Simplifying further:
-8x^2 = 7y - 4
Dividing both sides by 7:
y = (-8/7)x^2 + 4/7
So the equation of the graph of this function is a downward opening parabola with a vertex at (0, 4/7) and a coefficient of -8/7.