The equation of the parabola can be represented in the standard form of a vertical parabola as follows:
x² = 4py
In your case, the equation is given as:
x² = 20y
From the standard form, we can identify that 4p = 20. To find the value of p, we simply divide by 4:
p = 20 / 4 = 5
For a parabola whose vertex is at the origin (0, 0) and is opening upwards, the focus is located at the point (0, p). Therefore, since we have determined p to be 5, the coordinates of the focus can be found as follows:
Focus: (0, 5)
In summary, the coordinates of the focus of the parabola represented by the equation x² = 20y are (0, 5).