Answer
Start with $f(x)=x$
Reflect about the x-axis ... $-f(x)=-x$
Stretch vertically by fastor 2 ... $-2f(x)=-2x$
Move up by 1 unit ... $-2f(x)+1=1-2x$
Work Step by Step
Start with $f(x)=x$
Reflect about the x-axis ... $-f(x)=-x$
Stretch vertically by fastor 2 ... $-2f(x)=-2x$
Move up by 1 unit ... $-2f(x)+1=1-2x$