I need to find the equation for this parabola

Question

A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by rotating a parabola around its axis of symmetry. The receiver is to be located at the focus. If the dish is 72 feet across at its opening and 6 feet deep at its center, where should the receiver be placed?

Answer 1

the parabola equation is y=(6/1225)x²,,,A=6/1225 found from point (35,6) and equation y=Ax²

The focus for this parabola is at x=0 with a height of y_f=1/(4A)=1225/24=51and 1/24 feet.