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Plug in x = -5
y = |x - 3|
y = |-5 - 3|
y = |-8|
y = 8
So (-5,8) is one point on this function graph.
------------------------
Plug in x = -4
y = |x - 3|
y = |-4 - 3|
y = |-7|
y = 7
So (-4,7) is one point on this function graph.
------------------------
Plug in x = -3
y = |x - 3|
y = |-3 - 3|
y = |-6|
y = 6
So (-3,6) is one point on this function graph.
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Plug in x = -2
y = |x - 3|
y = |-2 - 3|
y = |-5|
y = 5
So (-2,5) is one point on this function graph.
------------------------
Plug in x = -1
y = |x - 3|
y = |-1 - 3|
y = |-4|
y = 4
So (-1,4) is one point on this function graph.
------------------------
Plug in x = 0
y = |x - 3|
y = |0 - 3|
y = |-3|
y = 3
So (0,3) is one point on this function graph.
------------------------
Plug in x = 1
y = |x - 3|
y = |1 - 3|
y = |-2|
y = 2
So (1,2) is one point on this function graph.
------------------------
Plug in x = 2
y = |x - 3|
y = |2 - 3|
y = |-1|
y = 1
So (2,1) is one point on this function graph.
------------------------
Plug in x = 3
y = |x - 3|
y = |3 - 3|
y = |0|
y = 0
So (3,0) is one point on this function graph.
------------------------
Plug in x = 4
y = |x - 3|
y = |4 - 3|
y = |1|
y = 1
So (4,1) is one point on this function graph.
------------------------
Plug in x = 5
y = |x - 3|
y = |5 - 3|
y = |2|
y = 2
So (5,2) is one point on this function graph.
------------------------
The list of points are
(-5,8)
(-4,7)
(-3,6)
(-2,5)
(-1,4)
(0,3)
(1,2)
(2,1)
(3,0)
(4,1)
(5,2)
which makes this table:
| x | y |
|---|---|
| -5 | 8 |
| -4 | 7 |
| -3 | 6 |
| -2 | 5 |
| -1 | 4 |
| 0 | 3 |
| 1 | 2 |
| 2 | 1 |
| 3 | 0 |
| 4 | 1 |
| 5 | 2 |
Plotting all the points on the same xy grid will give this
Draw a line/curve through all the points to get this function
which is the graph you're looking for