document.write( "Question 489785: I need help in finding the coordinates of the vertex for the parabola defined by the given quadratic function f(x) = -x^2 -4x + 8 \n" ); document.write( "
Algebra.Com's Answer #333999 by lwsshak3(11628)\"\" \"About 
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I need help in finding the coordinates of the vertex for the parabola defined by the given quadratic function f(x) = -x^2 -4x + 8
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\n" ); document.write( "Given function is a parabola of the standard form: -A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the steepness or slope of the parabola. The minus sign of the lead coefficient means that the parabola opens downwards, that is, it has a maximum.
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\n" ); document.write( "Finding the coordinates of the vertex:
\n" ); document.write( "f(x) = -x^2 -4x + 8
\n" ); document.write( "completing the square
\n" ); document.write( "y=-(x^2+4x+4)+8+4
\n" ); document.write( "y=-(x+2)^2+12
\n" ); document.write( "Ans:
\n" ); document.write( "Coordinates of the vertex: (-2,12)
\n" ); document.write( "See graph below as a visual check on the answer:
\n" ); document.write( "..
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-20%2C+20%2C+-x%5E2+-4x+%2B+8%29+\" \n" ); document.write( "
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