document.write( "Question 1056263: Find the vertex, axis of symmetry, x and y intercepts, y min or y max, domain and range then graph. \r
\n" ); document.write( "\n" ); document.write( "y=2x2^-9x+7\r
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\n" ); document.write( "\n" ); document.write( "Y intercept: set x=0 2(0)2^-9(0)+7 = 7 ?????? \n" ); document.write( "

Algebra.Com's Answer #671490 by Fombitz(32388) $\"\"$ $\"About$

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Yes, the y-intercept is ( $\"0\"$ , $\"7\"$ ).
\n" ); document.write( "Complete the square and convert to vertex form,
\n" ); document.write( " $\"y=2x%5E2-9x%2B7\"$
\n" ); document.write( " $\"y=2%28x%5E2-%289%2F2%29x%29%2B7\"$
\n" ); document.write( " $\"y=2%28x%5E2-%289%2F2%29x%2B%289%2F4%29%5E2%29%2B7-2%289%2F4%29%5E2\"$
\n" ); document.write( " $\"y=2%28x-9%2F4%29%5E2%2B7-81%2F8\"$
\n" ); document.write( " $\"y=2%28x-9%2F4%29%5E2%2B%2856-81%29%2F8\"$
\n" ); document.write( " $\"y=2%28x-9%2F4%29%5E2-25%2F8\"$
\n" ); document.write( "So the vertex is ( $\"9%2F4\"$ , $\"-25%2F8\"$ ),
\n" ); document.write( "axis of symmetry is $\"x=9%2F4\"$ ,
\n" ); document.write( "Since $\"2%3E0\"$ , the parabola opens upwards so the vertex value is the minimum,
\n" ); document.write( " $\"y%5Bmin%5D=-25%2F8\"$ .
\n" ); document.write( "Domain is all reals.
\n" ); document.write( "Range is [ $\"-25%2F8\"$ , $\"infinity\"$ ).
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