document.write( "Question 260499: I need help solving for y=-3x^2-6x-5. I need to solve and find coordinates to beable to graph this. I know you substitute 0 for x and y however I get lost when I have to solve for the squared part. Thanks \n" ); document.write( "
Algebra.Com's Answer #191911 by dabanfield(803)\"\" \"About 
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The equation is for a parabola. The standard form of a parabola is:\r
\n" ); document.write( "\n" ); document.write( "y = ax^2 + bx + c
\n" ); document.write( "The role of 'a'
\n" ); document.write( "If a> 0, the parabola opens upwards
\n" ); document.write( "if a< 0, it opens downwards.
\n" ); document.write( "The axis of symmetry
\n" ); document.write( "The axis of symmetry is the line x = -b/2a \r
\n" ); document.write( "\n" ); document.write( "For this parabola we have a = -3, b = -6 and c = -5.\r
\n" ); document.write( "\n" ); document.write( "So the parabola opens downward and is symmetric around the vertical line
\n" ); document.write( "x = -b/2a = -(-6)/(2*(-3)) = 6/-6 = -1.\r
\n" ); document.write( "\n" ); document.write( "The maximum value for y will occur when x = -1.
\n" ); document.write( "When x = -1, y = -3*(-1)^2 -6*(-1) - 5 = -3 + 6 - 5 = -2\r
\n" ); document.write( "\n" ); document.write( "To get the shape of the parabola choose values of x on either side of -1, say x = 0 and x = -2 and compute the corresponding values for y. \r
\n" ); document.write( "\n" ); document.write( "Use the quadratic formula to solve: \r
\n" ); document.write( "\n" ); document.write( "-3x^2 - 6x - 5 = 0.\r
\n" ); document.write( "\n" ); document.write( "It will turn out there are no real solutions.\r
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