document.write( "Question 537423: how can i write x=y2-2y-15 in standard form and graph it \n" ); document.write( "
Algebra.Com's Answer #352915 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! how can i write x=y2-2y-15 in standard form and graph it \n" ); document.write( "** \n" ); document.write( "x=y2-2y-15 \n" ); document.write( "complete the square \n" ); document.write( "x=(y^2-2y+1)-15-1 \n" ); document.write( "x=(y-1)^2-16 \n" ); document.write( "This is an equation of a parabola which opens rightwards of the standard form: x=A(y-k)^2+h, with (h,k) being the (x,y) coordinates of the vertex. \n" ); document.write( ".. \n" ); document.write( "For given equation of a parabola: \n" ); document.write( "vertex: (-16,1) \n" ); document.write( ".. \n" ); document.write( "y-intercept: \n" ); document.write( "set x=0 \n" ); document.write( "(y-1)^2-16=0 \n" ); document.write( "(y-1)^2=16 \n" ); document.write( "take sqrt of both sides \n" ); document.write( "y-1=±√16=±4 \n" ); document.write( "y=1±4 \n" ); document.write( "y=5 or -3 \n" ); document.write( ".. \n" ); document.write( "x-intercept \n" ); document.write( "set y=0 \n" ); document.write( "x=-15 \n" ); document.write( ".. \n" ); document.write( "You now have coordinates of the vertex, the y-intercepts, x-intercept and knowledge that it is a parabola that opens rightwards, information with which you should be able to graph the given function. \n" ); document.write( " |