Question

Which graph below represents the function `g(x)=|2-x|-4`?

Answer 1

See below:

Explanation:

This graph does!

graph{|2-x|-4 [-10, 10, -5, 5]}

So how can we get to this graph? We know that at `x=2`, `y=-4`. For each movement of `x`, both left and right, the graph will uptick one place (the value of `2-x` will always be positive, given the absolute value sign around it).