document.write( "Question 487732: Find the vertex\r
\n" ); document.write( "\n" ); document.write( "f(x)=x^2-4x-32 \n" ); document.write( "

Algebra.Com's Answer #333111 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
When the equation is in the form $\"+f%28x%29+=+ax%5E2+%2B+bx+%2B+c+\"$ ,
\n" ); document.write( "the x coordinate of the vertex is at $\"+-b%2F%282a%29+\"$
\n" ); document.write( " $\"+f%28x%29=x%5E2-4x-32+\"$
\n" ); document.write( " $\"+a+=+1+\"$
\n" ); document.write( " $\"+b+=+-4+\"$
\n" ); document.write( " $\"+-b%2F%282a%29+=+-%28-4%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"+-b%2F%282a%29+=+2+\"$
\n" ); document.write( "Now find $\"+f%28x%29+\"$ , which is th same as $\"y\"$
\n" ); document.write( " $\"+f%28x%29=x%5E2-4x-32+\"$
\n" ); document.write( " $\"+y+=+2%5E2+-+4%2A2+-+32+\"$
\n" ); document.write( " $\"+y+=+4+-+8+-+32+\"$
\n" ); document.write( " $\"+y+=+-36+\"$
\n" ); document.write( "The vertex is at (2,-36)
\n" ); document.write( "Here's a plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-5%2C+10%2C+-40%2C+5%2C+x%5E2+-+4x+-+32%29+\"$ \n" ); document.write( "

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