Daniel O. answered • 12/19/12

Math and Physics Tutor, with a math and physics degree

I'm not sure exactly what you're asking...

If f(x)=3x+1 was translated down 2 units to create g(x), then:

g(x) = f(x) - 2 = (3x + 1) - 2 = 3x - 1

So g(x) = 3x - 1

If g(x) was translated down 2 units to create f(x)=3x+1, then

g(x) - 2 = f(x)

g(x) = f(x) + 2 = (3x+1) + 2 = 3x +3

so g(x) = 3x + 3