document.write( "Question 614352: Graph the parabola by finding the vertex, directrix, and opening. Equation given 4x-3=-ysq.+4y+1 \n" ); document.write( "
Algebra.Com's Answer #386522 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Graph the parabola by finding the vertex, directrix, and opening. Equation given \n" ); document.write( "4x-3=-ysq.+4y+1 \n" ); document.write( "4x-3=-y^2+4y+1 \n" ); document.write( "complete the square \n" ); document.write( "4x-3=-(y^2-4y+4)+1+4 \n" ); document.write( "4x-3=-(y-2)^2+5 \n" ); document.write( "4x-8=-(y-2)^2 \n" ); document.write( "-(y-2)^2=4x-8 \n" ); document.write( "(y-2)^2=-4(x-2) \n" ); document.write( "This is an equation of a parabola that opens leftwards. \n" ); document.write( "Its standard form: (y-k)^2=-4p(x-h), (h,k)=(x,y) coordinates of the vertex \n" ); document.write( "For given equation: (y-2)^2=-4(x-2) \n" ); document.write( "Vertex: (2,2) \n" ); document.write( "axis of symmetry: y=2 \n" ); document.write( "4p=4 \n" ); document.write( "p=1 \n" ); document.write( "directrix: x=3 (one unit to the right of the vertex on the axis of symmetry)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |