document.write( "Question 255156: please just help me with these two problems I am so confused... but so happy my dad found this website!! I graphed these twice and got a line and when I did it wrong I made my own V shape on the Y axis on purpose.
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\n" ); document.write( "4. y=|-3x|\r
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Algebra.Com's Answer #187477 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
y=|-3x|
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document.write( "First find the VERTEX by taking what's between the absolute\r\n" );
document.write( "value bars and putting it equal to zero:\r\n" );
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document.write( "-3x = 0\r\n" );
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document.write( "Divide both sides by -3\r\n" );
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document.write( "  x = 0\r\n" );
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document.write( "Substitute this in the original equation:\r\n" );
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document.write( "y = |-3(0)|\r\n" );
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document.write( "y = |0|\r\n" );
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document.write( "y = 0\r\n" );
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document.write( "So plot the point (0,0).  That happens to be the origin:\r\n" );
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document.write( "Next choose one value of x less than 0 which will give a point\r\n" );
document.write( "on the left of the vertex, then choose another value of x greater\r\n" );
document.write( "than 0 which will give a point on the right of the vertex:\r\n" );
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document.write( "For the point on the left of the vertex, we choose x=-1. Substitute\r\n" );
document.write( "it in the original equation:\r\n" );
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document.write( "y = |-3x|\r\n" );
document.write( "y = |-3(-1)|\r\n" );
document.write( "y = |3|\r\n" );
document.write( "y = 3\r\n" );
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document.write( "That gives you the point (-1,3) which is left of the vertex.\r\n" );
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document.write( "Next choose one value of x greater than 0 which will give a point\r\n" );
document.write( "on the right of the vertex.\r\n" );
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document.write( "For the point on the right of the vertex, we choose x=+1. Substitute\r\n" );
document.write( "it in the original equation:\r\n" );
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document.write( "y = |-3x|\r\n" );
document.write( "y = |-3(+1)|\r\n" );
document.write( "y = |-3|\r\n" );
document.write( "y = 3\r\n" );
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document.write( "That gives you the point (1,3) which is right of the vertex. \r\n" );
document.write( "Plot those points:\r\n" );
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document.write( "Draw the v-shaped graph:\r\n" );
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document.write( "40. y=-|x-3| \r\n" );
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document.write( "First find the VERTEX by taking what's between the absolute\r\n" );
document.write( "value bars and putting it equal to zero:\r\n" );
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document.write( "x-3 = 0\r\n" );
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document.write( "Add +3 to both sides:\r\n" );
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document.write( "  x = 3\r\n" );
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document.write( "Substitute this in the original equation:\r\n" );
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document.write( "y = -|(3)-3|\r\n" );
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document.write( "y = -|0|\r\n" );
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document.write( "y = 0\r\n" );
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document.write( "So plot the point (3,0)\r\n" );
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document.write( "Next choose one value of x less than 3 which will give a point\r\n" );
document.write( "on the left of the vertex, then choose another value of x greater\r\n" );
document.write( "than 3 which will give a point on the right of the vertex:\r\n" );
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document.write( "For the point on the left of the vertex, we choose x=2. Substitute\r\n" );
document.write( "it in the original equation:\r\n" );
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document.write( "y = -|x-3|\r\n" );
document.write( "y = -|(2)-3|\r\n" );
document.write( "y = -|2-3|\r\n" );
document.write( "y = -|-1|\r\n" );
document.write( "y = -(1)\r\n" );
document.write( "y= -1\r\n" );
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document.write( "That gives you the point (2,-1) which is left of the vertex.\r\n" );
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document.write( "Next choose one value of x greater than 3 which will give a point\r\n" );
document.write( "on the right of the vertex.\r\n" );
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document.write( "For the point on the right of the vertex, we choose x=4. Substitute\r\n" );
document.write( "it in the original equation:\r\n" );
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document.write( "y = -|x-3|\r\n" );
document.write( "y = -|(4)=3|\r\n" );
document.write( "y = -|4-3|\r\n" );
document.write( "y = -|1|\r\n" );
document.write( "y = -1\r\n" );
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document.write( "That gives you the point (4,-1) which is right of the vertex. \r\n" );
document.write( "Plot those points:\r\n" );
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document.write( "Draw the v-shaped graph:\r\n" );
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document.write( "Edwin

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