What is the vertex of the absolute value function below? (4, -1) , (1, -4) , (1, 4) , (4, 1)

Solution:

The vertex can be found by drawing a vertical and horizontal line at the point of intersection.

By drawing a vertical line we find that the x coordinate is 4

By drawing a horizontal line we find that the y coordinate is 1

Therefore, the vertex is (4, 1).

What is the vertex of the absolute value function below? 

Summary:

The vertex of the absolute value function is (4, 1).