document.write( "Question 353349: list an equation that models the following characteristics
\n" ); document.write( " graph is a parabola that opens down
\n" ); document.write( " vertex is located at (0,84)
\n" ); document.write( " graph is wider that the graph of y=x^2 \n" ); document.write( "

Algebra.Com's Answer #252726 by Fombitz(32388) $\"\"$ $\"About$

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Use the vertex form, $\"y=a%28x-h%29%5E2%2Bk\"$ , where (h,k) is the vertex.
\n" ); document.write( "The value of a determines the direction of opening and also the width of the parabola.
\n" ); document.write( "When $\"a%3C0\"$ then the parabola opens downwards.
\n" ); document.write( "When $\"abs%28a%29%3C1\"$ , then the parabola is wider than $\"y=x%5E2\"$ .
\n" ); document.write( "Let $\"a=-1%2F2\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"y=-%281%2F2%29%28x-0%29%5E2%2B84\"$
\n" ); document.write( " $\"highlight%28y=-x%5E2%2F2%2B84%29\"$
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\n" ); document.write( "Here is the graph of the function (in red) with $\"y=-x%5E2%2B84\"$ (in green) graphed for reference.
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