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
Shwetank Mauria
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#

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