document.write( "Question 867242: Write the equation for a function f(t)= sin(t) whose graph is stretched vertically by a factor of 2, does four complete cycles from 0 to 2pi, and is shifted vertically by -7 units \n" ); document.write( "
Algebra.Com's Answer #522893 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write the equation for a function f(t)= sin(t) whose graph is stretched vertically by a factor of 2, does four complete cycles from 0 to 2pi, and is shifted vertically by -7 units \n" ); document.write( "*** \n" ); document.write( "Form of equation for sin function: y=Asin(Bx-C)+D, A=amplitude, Period=2π/B, D=vertical shift \n" ); document.write( "For given problem: \n" ); document.write( "Amplitude=1 \n" ); document.write( "Period=2π/4=π/2=2π/B \n" ); document.write( "B=4 \n" ); document.write( "vertical stretch=2 \n" ); document.write( "vertical shift=-7 down \n" ); document.write( "Equation:2sin(4x)-7\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |