document.write( "Question 123243This question is from textbook Algebra 2
\n" ); document.write( ": how to calculate the vertex of y=x^2-2x-3 \n" ); document.write( "
Algebra.Com's Answer #90426 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "


\n" ); document.write( "Discussion
\n" ); document.write( "


\n" ); document.write( "


\n" ); document.write( "The vertex of any parabola in the form \"y=f%28x%29=ax%5E2%2Bbx%2Bc\" is at the point
\n" ); document.write( "(\"-b%2F2a\",\"f%28-b%2F2a%29\")
\n" ); document.write( "


\n" ); document.write( "

\n" ); document.write( "


\n" ); document.write( "Solution
\n" ); document.write( "


\n" ); document.write( "


\n" ); document.write( "For \"y=f%28x%29=x%5E2-2x-3\"\r
\n" ); document.write( "\n" ); document.write( "\"a=1\"
\n" ); document.write( "\"b=-2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-b%2F2a=%28-%28-2%29%29%2F%282%2A1%29=2%2F2=1\"
\n" ); document.write( "\"f%281%29=%281%29%5E2-2%281%29-3=1-2-3=-4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The vertex is at (1,-4)
\n" ); document.write( "


\n" ); document.write( "

\n" ); document.write( "


\n" ); document.write( "Check Answer
\n" ); document.write( "


\n" ); document.write( "


\n" ); document.write( "\"graph%28600%2C600%2C-5%2C5%2C-5%2C5%2Cx%5E2-2x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "
\n" );