Transformations of functions

[DualDog321]

Given: g(x)=2f(x-1)+5
A (6,5) is a point on g(x)
h(x)=-g(3x)
If A' is the transformation of (6,5) made by h(x), what is A'
Thanks.

 

[Deleted member 4993]

Given: g(x)=2f(x-1)+5
A (6,5) is a point on g(x)
h(x)=-g(3x)
If A' is the transformation of (6,5) made by h(x), what is A'
Thanks.

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[Dr.Peterson]

Given: g(x)=2f(x-1)+5
A (6,5) is a point on g(x)
h(x)=-g(3x)
If A' is the transformation of (6,5) made by h(x), what is A'
Thanks.

If you know what transformations of the graph correspond to the negation and the 3x, just apply them to the point (6,5).

Another approach is to realize that (6,5) being on the graph means that g(6) = 5; so what value of x can you put into h to make use of this fact? What is h(x) for that value?

You may notice that for this problem, we don't need to know what g is; I presume the first given is used in another problem.

In any case, please show us your work so we can help you with it.

 

[Steven G]

Find h(6).