Then the axis of symmetry of the given absolute value function is x = 4.
Here we have the absolute value function:
y = |x - 4| + 1
The axis of symmetry is a line of the form x = a that divides the graph of the absolute value function in two halfs.
The axis of symmetry passes through the vertex, which we can see that is at x = 4 (the value of x such that the argument becomes equal to zero).
Then the axis of symmetry of the given absolute value function is x = 4.
If you want to learn more about absolute value functions:
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