To solve this problem youu must apply the procedure shown below:
1. Let's call (x0, y0) to any point of the parabola.
2. Then, you have:
√(x0-a)^2+(y0-b)^[2=|y0-10|
3. When you susbtitute values and simplify it, you obtain:
(√(x0-4)^2+(y0-0)^2)^2=(y0-10)^2
(x0-4)^2+y0^2=(y0-10)^2
4. Now, you must clear y, and you will have:
y=(-x^2/20)+(2x/5)+(21/5)