document.write( "Question 322172: For each quadratic function, state: direction of opening, vertex, equation of axis of symmetry, coordinates of maximum or minimum and domain and range.
\n" ); document.write( "y=3(x-4)^2+1 \n" ); document.write( "

Algebra.Com's Answer #230710 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The equation is in vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ where (h,k) is the vertex.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Direction of opening: Upwards, the coefficient of $\"x%5E2\"$ term ( $\"3\"$ ) is positive.
\n" ); document.write( "Vertex: ( $\"4\"$ , $\"1\"$ )
\n" ); document.write( "The axis of symmetry contains the vertex: $\"x=4\"$
\n" ); document.write( "Minimum occurs at the vertex: $\"ymin=1\"$
\n" ); document.write( "Domain: ( $\"-infinity\"$ , $\"infinity\"$ )
\n" ); document.write( "Range: ( $\"1\"$ , $\"infinity\"$ )
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "

\n" ); document.write( "

\n" );