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

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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)?

1 Answer
Oct 5, 2017

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