document.write( "Question 1038294: Please help me graph y = | x - 3 | \n" ); document.write( "

Algebra.Com's Answer #652983 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Plug in various values of x to get corresponding values of y\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = -5
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |-5 - 3|
\n" ); document.write( "y = |-8|
\n" ); document.write( "y = 8
\n" ); document.write( "So (-5,8) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = -4
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |-4 - 3|
\n" ); document.write( "y = |-7|
\n" ); document.write( "y = 7
\n" ); document.write( "So (-4,7) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = -3
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |-3 - 3|
\n" ); document.write( "y = |-6|
\n" ); document.write( "y = 6
\n" ); document.write( "So (-3,6) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = -2
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |-2 - 3|
\n" ); document.write( "y = |-5|
\n" ); document.write( "y = 5
\n" ); document.write( "So (-2,5) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = -1
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |-1 - 3|
\n" ); document.write( "y = |-4|
\n" ); document.write( "y = 4
\n" ); document.write( "So (-1,4) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = 0
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |0 - 3|
\n" ); document.write( "y = |-3|
\n" ); document.write( "y = 3
\n" ); document.write( "So (0,3) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = 1
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |1 - 3|
\n" ); document.write( "y = |-2|
\n" ); document.write( "y = 2
\n" ); document.write( "So (1,2) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = 2
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |2 - 3|
\n" ); document.write( "y = |-1|
\n" ); document.write( "y = 1
\n" ); document.write( "So (2,1) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = 3
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |3 - 3|
\n" ); document.write( "y = |0|
\n" ); document.write( "y = 0
\n" ); document.write( "So (3,0) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = 4
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |4 - 3|
\n" ); document.write( "y = |1|
\n" ); document.write( "y = 1
\n" ); document.write( "So (4,1) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------
\n" ); document.write( "Plug in x = 5
\n" ); document.write( "y = |x - 3|
\n" ); document.write( "y = |5 - 3|
\n" ); document.write( "y = |2|
\n" ); document.write( "y = 2
\n" ); document.write( "So (5,2) is one point on this function graph.\r
\n" ); document.write( "\n" ); document.write( "------------------------\r
\n" ); document.write( "\n" ); document.write( "The list of points are
\n" ); document.write( "(-5,8)
\n" ); document.write( "(-4,7)
\n" ); document.write( "(-3,6)
\n" ); document.write( "(-2,5)
\n" ); document.write( "(-1,4)
\n" ); document.write( "(0,3)
\n" ); document.write( "(1,2)
\n" ); document.write( "(2,1)
\n" ); document.write( "(3,0)
\n" ); document.write( "(4,1)
\n" ); document.write( "(5,2)
\n" ); document.write( "which makes this table:\r
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "\n" ); document.write( "

x	y
-5	8
-4	7
-3	6
-2	5
-1	4
0	3
1	2
2	1
3	0
4	1
5	2

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Plotting all the points on the same xy grid will give this
\n" ); document.write( "

\n" ); document.write( "Draw a line/curve through all the points to get this function
\n" ); document.write( "

\n" ); document.write( "which is the graph you're looking for \n" ); document.write( "

\n" );