document.write( "Question 160400: Could someone please show me how to get the line of symentry, vertex and the min/max of the line.
\n" ); document.write( " $\"f%28x%29=%281%2F4%29%28x%2B2%29%5E2%2B2\"$ \n" ); document.write( "

Algebra.Com's Answer #118328 by Earlsdon(6294) $\"\"$ $\"About$

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Find the line of symmetry (sp!), vertex, and the min. or max. of the curve:
\n" ); document.write( " $\"f%28x%29+=+%281%2F4%29%28x%2B2%29%5E2%2B2\"$
\n" ); document.write( "Your quadratic equation is already written in the \"vertex\" form of: $\"y+=+a%28x-h%29%5E2%2Bk\"$ where the vertex is located at the point (h, k), so you can write the coordinates of the vertex directly from your equation: (h = -2 and k = 2)
\n" ); document.write( "Vertex is at (-2, 2)
\n" ); document.write( "The line of symmetry is the vertical line that passes through the point x = -2, so the equation of the line of symmetry is: $\"highlight%28x+=+-2%29\"$ .
\n" ); document.write( "The parabola represented by your equation open upwards which you can tell because the coefficient of $\"x%5E2\"$ i.e. ( $\"a+=+1%2F4\"$ ) is positive, so the vertex is a minimum.
\n" ); document.write( "See the graph below:
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C5%2C-2%2C10%2C%281%2F4%29%28x%2B2%29%5E2%2B2%29\"$ \n" ); document.write( "

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