Draw absolute value function y = |x - 4| - 3

Given:
Function y = |x - 4| - 3
Step 1:
Draw the graph of y = |x - 4|
Find the coordinate of the absolute value function y = |x - 4|
Note: when x = 4, y = 0
Draw the graph of absolute value function y = |x - 4|
Note: The graph of y = |x - 4| is symmetry to the line of x = 4
Step 2:
Move the graph of y = |x - 4| down 3 units to get the graph of y = |x - 4| - 3
Note: when x = 4, y = -3
Draw the absolute value function y = |x - 4| - 3
Note: The graph of y = |x - 4| - 3 is also symmetry to the line of x = 4
Therefore,
for any graph of y = |x - a|
When x = a, y = 0
The graph of y = |x - a| is symmetry to the line of x = a
For the graph of y = |x - a| - b
When b > 0, move the graph of y = |x - a| down b units to get the graph of y = |x - a| - b
When b < 0, move the graph of y = |x - a| up b units to get the graph of y = |x - a| - b
Or you can draw the graph directly
Draw the absolute value function y = |x - 4| - 3
Draw the absolute value function y = |x - 4| - 3