document.write( "Question 366730: The graph of $\"+y=3x%5E2%2B12x%2B19+\"$ is a parabola that opens in the direction, It has vertex, y-intercep, and real roots. \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #261368 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=3x%5E2%2B12x%2B19\"$
\n" ); document.write( " $\"y=3%28x%5E2%2B4x%29%2B19\"$
\n" ); document.write( " $\"y=3%28x%5E2%2B4x%2B4%29%2B19-3%284%29\"$
\n" ); document.write( " $\"y=3%28x%2B2%29%5E2%2B7\"$
\n" ); document.write( "The vertex is ( $\"-2\"$ , $\"7\"$ ).
\n" ); document.write( "The line of symmetry is $\"x=-2\"$ .
\n" ); document.write( "The y-intercept is $\"y=19\"$
\n" ); document.write( "Since, $\"3%3E0\"$ , the parabola opens upwards.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"3%28x%2B2%29%5E2%2B7=0\"$
\n" ); document.write( " $\"3%28x%2B2%29%5E2=-7\"$
\n" ); document.write( " $\"%28x%2B2%29%5E2=-%287%2F3%29\"$
\n" ); document.write( "This function has no x-intercepts since it has complex roots and doesn't cross the x-axis.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

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

\n" );