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)\"\" \"About 
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( "
\n" );