document.write( "Question 236217: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=1/2(x+6)^2+3 \n" ); document.write( "

Algebra.Com's Answer #173948 by Edwin McCravy(20055) $\"\"$ $\"About$

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document.write( "The equation\r
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document.write( "a parabola with a vertex at (h,k) and which passes
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document.write( "through the points (h+1,k+a) and (h-1,k+a), and its
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document.write( "axis of symmetry is the vertical line whose equation
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document.write( "So in the problem:\r
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document.write( "[Notice that the sign is changed for h but kept for k]\r
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document.write( "So the vertex is (h,k) or (-6,3),\r
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document.write( "The parabola passes through (h-1,k+a) and (h+1,k+a), or\r
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document.write( "(-6-1,3+) or (-7,) and\r
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document.write( "(-6+1,3+) or (-5,)\r
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document.write( "Its axis of symmetry is the vertical line whose equation\r
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document.write( "is  or \r
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document.write( "We plot the vertex (-6,3)\r
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document.write( "We draw the axis of symmetry which is a vertical line 
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document.write( "through the vertex (the green line below:\r
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document.write( "Then we plot the two points, 
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document.write( "one on each side of the vertex\r
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document.write( "(-7,) and (-5,)\r
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document.write( "Finally we sketch in the parabola:\r
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document.write( "Edwin \n" );
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