document.write( "Question 518509: find the vertex, the line of symetry, and the maximum or minimum value of f(x). graph
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Algebra.Com's Answer #345209 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!
find the vertex, the line of symetry, and the maximum or minimum value of f(x). graph
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document.write( "Rules:\r\n" );
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document.write( "For f(x) = a(x-h)² + k\r\n" );
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document.write( "vertex = (h,k)\r\n" );
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document.write( "line of symetry = the line whose equation is x = h, a vertical line\r\n" );
document.write( "through h on the x-axis: \r\n" );
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document.write( "max/min value = k \r\n" );
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document.write( "Is it max or min = max?  Rule: if a > 0 it is a min, if a < 0, it is\r\n" );
document.write( "a max.  \r\n" );
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document.write( "To draw the graph:  \r\n" );
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document.write( "1. Draw the line of symmetry.\r\n" );
document.write( "2. Plot the vertex (h,k), \r\n" );
document.write( "3. Plot the two points (h+1,k+a), (h-1,k+a)\r\n" );
document.write( "4. Draw a u-shaped curve through them, symmetrical about the line\r\n" );
document.write( "of symmetry.\r\n" );
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document.write( "Use the rule on your equation:\r\n" );
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document.write( "f(x) = (x+5)² + 6\r\n" );
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document.write( "Compare to:\r\n" );
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document.write( "f(x) = a(x-h)² + k\r\n" );
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document.write( "a = , h = -5, k = 6\r\n" );
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document.write( "vertex = (h,k) = (-5,6)\r\n" );
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document.write( "line of symetry = the line whose equation is x = h, or x = -5 \r\n" );
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document.write( "max/min value = k = 6 \r\n" );
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document.write( "Is it max or min = max?  Rule: if a > 0 it is a min, if a < 0, it is\r\n" );
document.write( "a max.   Since a =  which is > 0, it is a min.\r\n" );
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document.write( "To draw the graph:  \r\n" );
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document.write( "1. Draw the line of symmetry, a vertical line through -5 on the x-axis,\r\n" );
document.write( "whose equation is x = -5\r\n" );
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document.write( "2. Plot the vertex (h,k) = (-5,6)\r\n" );
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document.write( "3. Plot the two points (h+1,k+a) = (-5+1,6+) = (-4,)\r\n" );
document.write( "and (h-1,k+a) = (-5-1,6+) = (-6,)\r\n" );
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document.write( "4. Draw a u-shaped curve through them, symmetrical about the line\r\n" );
document.write( "of symmetry.\r\n" );
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document.write( "Edwin

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