# How do you graph #f(x) =abs(x-4)+1#?

See the explanation below.

The graph of the function would be same as that of f(x)=|x| with a horizontal translation to the right by 4 units and vertical translation up by 1 unit.

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To graph ( f(x) = |x - 4| + 1 ), follow these steps:

- Identify the vertex, which is (4, 1).
- Plot the vertex on the coordinate plane.
- Choose at least two additional points to plot.
- Use the symmetry of the absolute value function to plot the rest of the points.
- Draw a smooth curve connecting the points.

If you need further clarification on any step, feel free to ask.

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