Respuesta :
Answer:
The correct option is;
Horizontal stretch followed by a translation 1 unit left so g(x) = (3·x + 2)
Step-by-step explanation:
In geometric transformation, a dilation involves the increase in the dimension of the distances between points by a given scale factor.
Therefore, with regards to the question, a dilation can be represented by the product of the initial dimension, x, by a variable, such as an integer
A translation right is represented by an addition to the x value, while a translation left is represented by subtraction from the x value
Therefore, whereby f(x) = x + 1
An horizontal stretch of 3 will be 3 × (x + 1) = 3·x + 3
Followed by an a translation 1 unit left will be;
3·x + 3 - 1 = 3·x + 2;
Therefore;
g(x) = (3·x + 2).