document.write( "Question 723347: How to graph: f(x)=2log(base 2)(x+8)-3 \n" ); document.write( "
Algebra.Com's Answer #443150 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How to graph: f(x)=2log(base 2)(x+8)-3 \n" ); document.write( "Do it in steps: \n" ); document.write( "log2(x):Basic log curve \n" ); document.write( "asymptote at x=0 or y-axis \n" ); document.write( "x-intercept at (1,0) \n" ); document.write( ".. \n" ); document.write( "log(x+8): shift curve 8 units left \n" ); document.write( "asymptote at x=-8 \n" ); document.write( "x-intercept at (-7,0) \n" ); document.write( ".. \n" ); document.write( "log(x+8)-3: drop curve 3 units down \n" ); document.write( "asymptote: no change at x=-8 \n" ); document.write( "x-intercept coordinates drop to (-7,3) \n" ); document.write( ".. \n" ); document.write( "2log(base 2)(x+8)-3: slope increases slightly(final configuration) \n" ); document.write( "asymptote: no change at x=-8 \n" ); document.write( "x-intercept coordinates remain at (-7,3) \n" ); document.write( " |