document.write( "Question 893503: the question is: Find the vertex, discuss the transformation from the parent graph and state the roots of f(x)=x^2+12x+35 \n" ); document.write( "
Algebra.Com's Answer #541322 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the vertex, discuss the transformation from the parent graph and state the roots of f(x)=x^2+12x+35 \n" ); document.write( "*** \n" ); document.write( "To find the vertex: \n" ); document.write( "complete the square: \n" ); document.write( "f(x)=(x^2+12x+36)-36+35 \n" ); document.write( "f(x)=(x+6)^2-1 \n" ); document.write( "This is the vertex form of equation for a parabola that opens upwards wit vertex at (-6,-1) \n" ); document.write( ".. \n" ); document.write( "To find the roots, set f(x)=0 \n" ); document.write( "x^2+12x+35=0 \n" ); document.write( "(x+7)(x+5)=0 \n" ); document.write( "x=-7 \n" ); document.write( "or \n" ); document.write( "x=-5 \n" ); document.write( "Roots are -7 and -5\r \n" ); document.write( "\n" ); document.write( "see graph below as a visual check \n" ); document.write( " |