Question

What is a possible formula for g(x) in terms of f(x)?

I can see that the point appears to shift up by 6 units. What else do I need to know in order to find a possible formula for g(x) in terms of f(x)?

Answer 1

`g(x)=2f(x)`

Explanation:

If `f(x)` is vertically stretched or shrunk in a graph, we have multiplied by a number `n`, which is greater than `1` if it has stretched and if it is less than `1` (but grater than `0`), it will shrink.

On the contrary just adding `a` will either shift it up - if it is positive - or shift it down - if it is negative.

As here it is either stretched or shrunk, we have

`g(x)=2f(x)`

i.e. while `f(3)=6`, `g(3)=2f(3)=2xx6=12`