Getting a new function from a given function

[Math_Junkie]

You are given a function A(x) with domain [0,3]. On the graph y = A(x) there are 3 points L, M, and N with coordinates (0,1), (1,3), (3,2) respectively.
Suppose B(x) is obtained from A(x) via B(x)=3A(2x - 6) + 5.

Would you simply apply the following transformations to the original graph?
- vertical stretch by a factor of 3
- horizontal shrink by a factor of 2
- shift 6 units to the right
- shift 5 units up

So would the new point be, L(6,8), M(13/2, 14) and N(15/2, 11).

And therefore the domain would be [6, 15/2].

Is this correct?

 

[Deleted member 4993]

You are given a function A(x) with domain [0,3]. On the graph y = A(x) there are 3 points L, M, and N with coordinates (0,1), (1,3), (3,2) respectively.
Suppose B(x) is obtained from A(x) via B(x)=3A(2x - 6) + 5.

Would you simply apply the following transformations to the original graph?
- vertical stretch by a factor of 3
- horizontal shrink by a factor of 2
- shift 6 units to the right
- shift 5 units up

So would the new point be, L(6,8), M(13/2, 14) and N(15/2, 11).

And therefore the domain would be [6, 15/2].

Is this correct?

Looks good to me.....