Question

Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4?

Shift f(x) = 3x one unit up and four units to the right.
Shift f(x) = 3x one unit up and four units to the left.
Shift f(x) = 3x one unit to the right and four units up.
Shift f(x) = 3x one unit to the left and four units up.

Answer 1

the problem should have just combined the 1 and the 4 -_-! Lazy problem writers.

Answer 2

anyway... I'll just give hints
f(x) = 3x is the original graph so graph that one first
now if you see () in your g(x) problem that means you're going left, +, or right -
now if you DON'T see () in your g(x) problem that means you're going up + or down -

Answer 3

I think the question read:
f(x) = 3x to g(x) = 3(x + 1) + 4?
Hint:
When the rule is
(x,y)->((x-h),y+k)
the transformation is h units to the right, k units up.

Answer 4

that can go any way. I wouldn't go further unless there is further clarification regarding that g(x).
The f(x) is fine.