document.write( "Question 1046635: Give the vertex, axis, x-intercepts, y-intercept, domain, and range of the graph of the function: \r
\n" ); document.write( "\n" ); document.write( "f(x)= (-2/3)((x-6))^2 + 7 \n" ); document.write( "

Algebra.Com's Answer #662108 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
It's in vertex for so,
\n" ); document.write( "Vertex : ( $\"6\"$ , $\"7\"$ )
\n" ); document.write( "Domain : All reals
\n" ); document.write( "Range: Since quadratic multiplier is negative, $\"7\"$ is maximum. ( $\"-infinity\"$ , $\"7\"$ ]
\n" ); document.write( "Y Intercept, set $\"x=0\"$
\n" ); document.write( " $\"y=-%282%2F3%29%280-6%29%5E2%2B7\"$
\n" ); document.write( " $\"y=-%282%2F3%29%2836%29%2B7\"$
\n" ); document.write( " $\"y=-24%2B7\"$
\n" ); document.write( " $\"y=-17\"$
\n" ); document.write( "( $\"0\"$ , $\"-17\"$ )
\n" ); document.write( "X intercept, set $\"y=0\"$
\n" ); document.write( " $\"0=-%282%2F3%29%28x-6%29%5E2%2B7\"$
\n" ); document.write( " $\"%282%2F3%29%28x-6%29%5E2=7\"$
\n" ); document.write( " $\"%28x-6%29%5E2=21%2F2\"$
\n" ); document.write( " $\"x-6=0+%2B-+sqrt%2821%2F2%29\"$
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.
\n" ); document.write( " $\"x=6+%2B-+sqrt%2821%2F2%29\"$
\n" ); document.write( " $\"x=6+%2B-+sqrt%2842%29%2F2\"$
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