document.write( "Question 263007: find the vertex and axis of symmetry and graph the function
\n" ); document.write( "h(x)=x^2-5x \n" ); document.write( "

Algebra.Com's Answer #193805 by josmiceli(19441) $\"\"$ $\"About$

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$\"h%28x%29=x%5E2-5x\"$
\n" ); document.write( "A good thing to remember is that the
\n" ); document.write( "vertex and axis of symmetry are half-way
\n" ); document.write( "between the roots (solutions for $\"h%28x%29+=+0\"$ )
\n" ); document.write( " $\"x%5E2+-+5x+=+0\"$
\n" ); document.write( " $\"x%2A%28x+-+5%29+=+0\"$
\n" ); document.write( "The solutions are $\"x+=+0\"$ , $\"x+=+5\"$
\n" ); document.write( "Half-way between is $\"x+=+5%2F2\"$
\n" ); document.write( "Now solve for $\"h%28x%29\"$
\n" ); document.write( " $\"h%28x%29+=+%285%2F2%29%5E2+-+5%2A%285%2F2%29\"$
\n" ); document.write( " $\"h%28x%29+=+25%2F4+-+25%2F2\"$
\n" ); document.write( " $\"h%28x%29+=+25%2A%281%2F4+-+2%2F4%29\"$
\n" ); document.write( " $\"h%28x%29+=+-25%2F4\"$
\n" ); document.write( "So, the vertex is at (5/2, -25/4)
\n" ); document.write( "The axis of symmetry is $\"x+=+5%2F2\"$
\n" ); document.write( " $\"+graph%28+500%2C+500%2C+-3%2C+8%2C+-8%2C+8%2C+x%5E2+-+5x%29+\"$
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