How to solve. What is the vertex of f (x) = 6|x-7|+3

Vertex: (7, 3)

Step-by-step explanation:

The x coordinate of an absolute value function is found at the x value that makes the argument inside the absolute value operator equal zero, so we have

x - 7 = 0, add 7 to both sides and we get x = 7, so 7 is the x coordinate.

Plug 7 into the equation and find the y value of the vertex

f (7) = 6|7 - 7| + 3

f (7) = 6 (0) + 3

f (7) = 3

So the vertex is found at (7, 3)