document.write( "Question 153891: totally lost, I have to sketch a graph and find the vertex, x and y intercept, domain, range and the transformation I'm able to graph on calculator but that's no help to me
\n" ); document.write( "a) $\"y=abs%28x%29\"$
\n" ); document.write( "b) $\"y=abs%282x-3%29%2B4\"$
\n" ); document.write( "c) $\"y%3C=abs%28x-2%29%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "Thanks any help is appreciated \n" ); document.write( "

Algebra.Com's Answer #113305 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
totally lost, I have to sketch a graph and find the vertex, x and y intercept, domain, range and the transformation I'm able to graph on calculator but that's no help to me
\n" ); document.write( "a) $\"y=abs%28x%29\"$
\n" ); document.write( "b) $\"y=abs%282x-3%29%2B4\"$
\n" ); document.write( "c) $\"y%3C=abs%28x-2%29%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( "Thanks any help is appreciated
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document.write( "I'll do all but the last, which requires shading.\r\n" );
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document.write( "Rule:\r\n" );
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document.write( "To find the vertex of the graph of \r\n" );
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document.write( "set  and solve for x. That's the x-value of the\r\n" );
document.write( "vertex.  The y-value of the vertex is just D.\r\n" );
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document.write( "Domain is always domain (,\r\n" );
document.write( "Range: (D,) if graph opens upward  \r\n" );
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document.write( "Range: (),D) if graph opens downward\r\n" );
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document.write( "transformation: \r\n" );
document.write( " units Right if  is negative\r\n" );
document.write( " units Left if   is positive\r\n" );
document.write( " units Up if  is positive.\r\n" );
document.write( " units Down if  is negative\r\n" );
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document.write( "Consider that as: \r\n" );
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document.write( "Set \r\n" );
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document.write( "That is the x value of the vertex.\r\n" );
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document.write( "The y-value is 0.\r\n" );
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document.write( "So the vertex is (0,0)\r\n" );
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document.write( "Get two more points one on each side of the\r\n" );
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document.write( "Substitute \r\n" );
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document.write( "So 1 point is (1,0)\r\n" );
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document.write( "Substitute \r\n" );
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document.write( "So another point is (-1,1)\r\n" );
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document.write( "Plot those three points\r\n" );
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document.write( "Now draw a v-shaped graph with the vertex at the bottom:\r\n" );
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document.write( "domain: (,)\r\n" );
document.write( "range: (,)\r\n" );
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document.write( "No transformation.\r\n" );
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document.write( "Set \r\n" );
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document.write( "That is the x value of the vertex.\r\n" );
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document.write( "The y-value is 4.\r\n" );
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document.write( "So the vertex is (,)\r\n" );
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document.write( "Get two more points one on each side of the\r\n" );
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document.write( "Substitute \r\n" );
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document.write( "So 1 point is (0,7)\r\n" );
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document.write( "So another point is (3,7)\r\n" );
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document.write( "Plot those three points\r\n" );
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document.write( "Now draw a v-shaped graph with the vertex at the bottom:\r\n" );
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document.write( "domain: (,)\r\n" );
document.write( "range: (,)\r\n" );
document.write( "transformation: \r\n" );
document.write( " units Right because  is negative\r\n" );
document.write( " units Up because  is positive.\r\n" );
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document.write( "---------------\r\n" );
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document.write( "First draw   as above, then shade all\r\n" );
document.write( "the area below the v-shaped graph.\r\n" );
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document.write( "Edwin

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