document.write( "Question 940692: can you draw me the graph of
\n" ); document.write( "y=absolute value of -2x+6
\n" ); document.write( "thnk you
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Algebra.Com's Answer #573314 by macston(5194)\"\" \"About 
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In an Absolute Value problem, the line will turn at some point if values become negative.
\n" ); document.write( "In simple problems this often occurs where y=0 or x=0
\n" ); document.write( "We will first set y=0
\n" ); document.write( "\"y=abs%28-2x%2B6%29\"
\n" ); document.write( "0=-2x+6 Subtract 2x from both sides
\n" ); document.write( "2x=6 Divide both sides by 2
\n" ); document.write( "x=3, So one point on the graph will be (3,0)
\n" ); document.write( "Pick an x below 3, say 0, and solve the equation for y:
\n" ); document.write( "y=-2x+6
\n" ); document.write( "y=-2(0)+6
\n" ); document.write( "y=6, so the line crosses the y axis at 6 and goes to point (3,0)
\n" ); document.write( "Pick an x greater than 3, say 4, and solve again
\n" ); document.write( "y=-2x+6y=-2(4)+6
\n" ); document.write( "y=-8+6
\n" ); document.write( "y=-2 Since this is absolute value, we disregard the sign and plot point (4,2)
\n" ); document.write( "With these three points we can graph the equation from (0,6) to (3,0) to (4,2)
\n" ); document.write( "\"+graph%28+400%2C400%2C+-6%2C+5%2C+-10%2C+10%2Cabs%28-2x%2B6%29%29++\"
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