Answer:
The equation of the parabola is
.
Step-by-step explanation:
A parabola is a curve where any point is at an equal distance from a fixed point (the focus), and a fixed straight line (the directrix).
To find the formula we assume that the equation of the parabola is

Since the parabola passes through the point (13, 0), then
.
Since the parabola passes through the point (4, 0), then
.
Since the parabola passes through the point (0,13), then
.
Thus, we have obtained the following system:

Next, we need to solve this system of equations.




The equation of the parabola is
.