document.write( "Question 999237: Write an equation in standard form of the parabola that has vertex (-4, -8) and passes through the point (7, -371) \n" ); document.write( "

Algebra.Com's Answer #616913 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Make your choice; for either vertical symmetry axis or horizontal symmetry axis.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I am choosing vertical axis of symmetry. Think about the two given points, and you understand that coefficient $\"a%3C0\"$ , which goes on the leading term.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Standard Form format, $\"y=a%28x-h%29%5E2%2Bk\"$ , and (h,k) and another point on the graph are given.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"a=%28y-k%29%2F%28x-h%29%5E2\"$
\n" ); document.write( " $\"a=%28y-%28-8%29%29%2F%28x-%28-4%29%29%5E2\"$ , using vertex given
\n" ); document.write( " $\"a=%28-371%2B8%29%2F%287%2B4%29%5E2\"$ , when the other included point is used, and partial simplification
\n" ); document.write( " $\"a=-363%2F%28121%29\"$
\n" ); document.write( " $\"highlight_green%28a=-3%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "One possible equation from that is $\"highlight%28y=-3%28x%2B4%29%5E2-8%29\"$ . \n" ); document.write( "

\n" );