document.write( "Question 65159This question is from textbook algebra for college students
\n" ); document.write( ": Hello,
\n" ); document.write( "how do i fint the vertex and intercepts for this quadratic function:\r
\n" ); document.write( "\n" ); document.write( "f(x) = x^2 - 6x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "thank you! \n" ); document.write( "

Algebra.Com's Answer #45652 by cristiana(10) $\"\"$ $\"About$

You can put this solution on YOUR website!
To easily determine the vertex we have to bring the function to the following form:
\n" ); document.write( " $\"y+=+a%28x-h%29%5E2%2Bk\"$ and the vertex is: (h,k)
\n" ); document.write( "To do that, we basically need to complete the square
\n" ); document.write( " $\"x%5E2-6x+=+x%5E2+-+2%2A3x+%2B+9+-+9+=+%28x-3%29%5E2+-9\"$
\n" ); document.write( "Therefore, our new form is:
\n" ); document.write( " $\"y+=+%28x-2%29%5E2+-9\"$
\n" ); document.write( "We can now spot the vertex: (2,9)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "To determine the intercepts, we simply have to solve the equation:
\n" ); document.write( " $\"x%5E2-6x+=0\"$
\n" ); document.write( "Solutions: {0, 6} - these are the x-intercepts\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope it helped,
\n" ); document.write( "Cristiana \n" ); document.write( "

\n" );