You can put this solution on YOUR website! That would not be a standard equation for y for a parabola. How about standard form for x in terms of y instead? Your given equation has the square for y already completed and only x in the power of 1, so standard form as x in terms of y is possible.
You can solve your equation for y in terms of x, but it will not be a standard form parabola equation. , two square root functions, each being half a parabola. Each is stretched horizontally, and vertex is (-11,4); axis of symmetry between the two functions is y=4.