which graph represents the function f(x)=(x - 5)^2+3?

Explanation:

Step1: Identify the vertex - form of a parabola

The vertex - form of a parabola is $y=a(x - h)^2+k$, where $(h,k)$ is the vertex of the parabola. For the function $f(x)=(x - 5)^2+3$, we have $a = 1$, $h = 5$, and $k = 3$.

Step2: Determine the vertex

Since $h = 5$ and $k = 3$, the vertex of the parabola is the point $(5,3)$. Also, since $a=1>0$, the parabola opens upwards.

Answer:

The graph with a vertex at the point $(5,3)$ and opening upwards.