The quadratic parent function f was transformed to create g(x)=f(x-3)+5 What is the vertex of the graph of A (-3,5) B (3,5) C (5,-3) (5,3)

## Step 1
The given function is $g(x) = f(x-3) + 5$. This function is a transformation of the parent function $f(x)$.

## Step 2
The transformation $f(x-3)$ represents a horizontal shift of the graph of $f(x)$ to the right by 3 units. This is because the transformation $x-3$ inside the function $f(x)$ effectively shifts the graph to the right by 3 units.

## Step 3
The transformation $f(x) + 5$ represents a vertical shift of the graph of $f(x)$ upwards by 5 units. This is because the transformation $+5$ outside the function $f(x)$ effectively shifts the graph upwards by 5 units.

## Step 4
The vertex of the graph of $g(x)$ is the point that has been shifted by the transformations. The vertex of the parent function $f(x)$ is at the origin (0,0). After the transformations, the vertex of $g(x)$ is at (3,5).