which equation has a graph that is a parabola with a vertex at (5, 3)?\no y=(x - 5)^2+3\no y=(x + 5)^2+3\no…

Explanation:

Step1: Recall vertex - form of parabola

The vertex - form of a parabola is $y=a(x - h)^2+k$, where $(h,k)$ is the vertex of the parabola.

Step2: Identify the values of h and k

We are given that the vertex is $(5,3)$, so $h = 5$ and $k=3$.

Step3: Substitute h and k into the vertex - form

Substituting $h = 5$ and $k = 3$ into $y=a(x - h)^2+k$, we get $y=(x - 5)^2+3$ (assuming $a = 1$).

Answer:

$y=(x - 5)^2+3$ (the first option)