Answer:
Vertex: (7, 3)
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)