document.write( "Question 539091: starting with the basic exponential function f(x)=3x (x is the power of 3), use transformation to sketch the graph of g(x)=3x-1 (x-1 is the power of 3) \n" ); document.write( "
Algebra.Com's Answer #353545 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! starting with the basic exponential function f(x)=3x (x is the power of 3), use transformation to sketch the graph of g(x)=3x-1 (x-1 is the power of 3) \n" ); document.write( "** \n" ); document.write( "If you graph the basic function, y=3^x, the curve will have a y-intercept of 1 (3^0=1) \n" ); document.write( "For x>0, the curve will increase exponentially to ∞. \n" ); document.write( "For x<0, the curve will approach zero with the x-axis being an asymptote to the curve. \n" ); document.write( ".. \n" ); document.write( "For y=3^(x-1) \n" ); document.write( "The entire curve is shifted one unit to the right. \n" ); document.write( "For example, the y-intercept point of (0,1) has shifted to (1,1) \n" ); document.write( "Otherwise, the shape of the curve remains the same with the x-axis still the asymptote for x<0 \n" ); document.write( " |