document.write( "Question 681141: What is the vertex and the axis of symmetry of the parabola y=x^2+5x-6 \n" ); document.write( "
Algebra.Com's Answer #422821 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! What is the vertex and the axis of symmetry of the parabola \n" ); document.write( "y=x^2+5x-6 \n" ); document.write( "complete the square: \n" ); document.write( "y=(x^2+5x+25/4)-6-25/4 \n" ); document.write( "y=(x+5/2)^2-24/4-25/4 \n" ); document.write( "y=(x+5/2)^2-49/4 \n" ); document.write( "This is an equation of a parabola that opens upwards. \n" ); document.write( "Its standard form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex \n" ); document.write( "For given equation: y=(x+5/2)^2-49/4 \n" ); document.write( "vertex: (-5/2,-49/4) \n" ); document.write( "axis of symmetry: x=-5/2 \n" ); document.write( "see graph below: \n" ); document.write( " |