document.write( "Question 867911: Identify the vertex, axis of symmetry, and intercepts for the graph of the function. x=y^2+6y-1 (use completing the square method) (then graph). \n" ); document.write( "
Algebra.Com's Answer #523261 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Identify the vertex, axis of symmetry, and intercepts for the graph of the function. x=y^2+6y-1 (use completing the square method) (then graph). \n" ); document.write( "*** \n" ); document.write( "x=y^2+6y-1 \n" ); document.write( "x=(y^2+6y+9)-9-1 \n" ); document.write( "x=(y+3)^2-10 \n" ); document.write( "(y+3)^2=x+10 \n" ); document.write( "This is an equation of a parabola that opens right \n" ); document.write( "vertex:(-10,-3) \n" ); document.write( "axis of symmetry:y=3 \n" ); document.write( ".. \n" ); document.write( "x-intercepts: \n" ); document.write( "set y=0 \n" ); document.write( "x=y^2+6y-1 \n" ); document.write( "x=-1 \n" ); document.write( ".. \n" ); document.write( "y-intercepts \n" ); document.write( "set x=0 \n" ); document.write( "(y+3)^2=x+10 \n" ); document.write( "y+3=±√10 \n" ); document.write( "y=-3±√10 \n" ); document.write( "y≈-6.16 \n" ); document.write( "or \n" ); document.write( "y≈0.16 \n" ); document.write( ".. \n" ); document.write( "see graph below: \n" ); document.write( "y=±(x+10)^.5-3 \n" ); document.write( " |