document.write( "Question 535785: y=-2x^2+6 How do I graph this? \n" ); document.write( "
Algebra.Com's Answer #352001 by lwsshak3(11628) ![]() You can put this solution on YOUR website! y=-2x^2+6 How do I graph this? \n" ); document.write( "This is an equation of the standard form for a parabola: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. \n" ); document.write( "For given equation: \n" ); document.write( "vertex:(0,6) \n" ); document.write( "negative lead coefficient means parabola opens downwards \n" ); document.write( "y-intercept \n" ); document.write( "set x=0 \n" ); document.write( "y=6 \n" ); document.write( ".. \n" ); document.write( "x-intercepts: \n" ); document.write( "set y=0 \n" ); document.write( "2x^2=6 \n" ); document.write( "x^2=3 \n" ); document.write( "x=±√3 \n" ); document.write( ".. \n" ); document.write( "you now have the vertex(0,6), y-intercept(0,6) and two x-intercepts(±√3,0) \n" ); document.write( "with which you can easily draw the graph of given function. \n" ); document.write( " |