According to the given data we have the following:
Shift the function f(x)=x^2 to the right 2, vertical stretch by 4, and a shift
up 1 unit.*
If we Shift the function f(x)=x^2 to the right 2, hence the right option would be:
f(x)=4(x+2)^2+1
Hence, the right option would be option 1.