Identify the Quadratic Function with Minimum Point (2,0): Parabola Analysis

To solve this problem, we need to ensure that the parabola's vertex is located at $(2,0)$. We use the vertex form of a quadratic equation $y = a(x-h)^2 + k$, where $(h, k)$ is the vertex of the parabola.

Given the minimum point or vertex as $(2,0)$, we identify $h = 2$ and $k = 0$. Substituting these into the vertex form gives:

$y = a(x-2)^2 + 0$

Since we are looking for a parabola with a minimum point, $a$ should be positive. The simplest positive value for $a$ is 1, giving:

$y = (x-2)^2$

This matches choice 1. Therefore, the correct representation of the function is:

$y=(x-2)^2$