Question

determine the vertex for the quadratic function y=(x - 3)^2 and then identify the graph of the function.

Explanation:

Step1: Recall vertex - form of quadratic function

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

Step2: Identify $h$ and $k$ values

For the function $y=(x - 3)^2$, we can rewrite it as $y = 1(x - 3)^2+0$. Here, $h = 3$ and $k = 0$.

Answer:

The vertex of the quadratic function $y=(x - 3)^2$ is $(3,0)$.