document.write( "Question 351490: f(x)= -(x+3)(x+3)+3\r
\n" ); document.write( "\n" ); document.write( "Please help me find the vertex, axis of symmetry, xinter, yinter, domain, range \n" ); document.write( "

Algebra.Com's Answer #251167 by Fombitz(32388) $\"\"$ $\"About$

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The function is already in vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ , where ( $\"h\"$ , $\"k\"$ ) is the vertex.
\n" ); document.write( "( $\"h\"$ , $\"k\"$ )=( $\"-3\"$ , $\"3\"$ )
\n" ); document.write( "The vertex lies on the axis of symmetry, $\"x=-3\"$
\n" ); document.write( "The parabola opens downward since $\"a=-1%3C0\"$ so the value at the vertex is the maximum.
\n" ); document.write( "There are no restrictions on the domain.
\n" ); document.write( "Domain:( $\"-infinity\"$ , $\"infinity\"$ )
\n" ); document.write( "Range:( $\"-infinity\"$ , $\"3\"$ )
\n" ); document.write( "To find the y-intercept, set $\"x=0+\"$ solve for $\"y\"$ .
\n" ); document.write( " $\"y=-%280%2B3%29%5E2%2B3=-9%2B3=-6\"$
\n" ); document.write( "( $\"0\"$ , $\"-6\"$ )
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\n" ); document.write( "\n" ); document.write( "To find the x-intercept, set $\"y=0+\"$ solve for $\"x\"$ .
\n" ); document.write( " $\"0=-%28x%2B3%29%5E2%2B3\"$
\n" ); document.write( " $\"%28x%2B3%29%5E2=3\"$
\n" ); document.write( " $\"x%2B3=0+%2B-+sqrt%283%29\"$
\n" ); document.write( " $\"x=-3+%2B-+sqrt%283%29\"$
\n" ); document.write( "( $\"-3%2Bsqrt%283%29\"$ , $\"0\"$ )
\n" ); document.write( "( $\"-3-sqrt%283%29\"$ , $\"0\"$ )
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