The vertex of the graph of f(x) = |x - 3| + 6 is located at

Solution:

As the function is an absolute function, it would look like a V shape on the graph.

The vertex will start at (0, 0). Let us understand the transformations of the function from this point.

Inside the absolute value, x is subtracted by 3 implies that the vertex will move to the right by 3 units.

The whole function is added by 6 implies that the vertex will move up by 6 units.

Therefore, the vertex of the graph is (3, 6).

The vertex of the graph of f(x) = |x - 3| + 6 is located at 

Summary:

The vertex of the graph of f(x) = |x - 3| + 6 is located at (3, 6).