What is the vertex of the absolute value function defined by ƒ(x) = |x - 2| - 7?

Find the x coordinate of the vertex, set x-2 to equal zero or x-2=0.
Since -2 is not the variable to solve for, move to right side of equation by adding 2 to both sides for x=2.
Replace the x variable with 2 in the expression to get y=|(2)-2|-7.
Simplify |(2)-2)|-7 to get -7 since 2-2=0.
Now becomes, y=0-7 then subtract 0-7=-7 to get y=-7.
The absolute value vertex is (2,-7)