Respuesta :
Using translation concepts, it is found that the corrects options are:
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
What is a translation?
- A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are:
[tex]f(x) = |x|[/tex]
[tex]g(x) = -2|x|[/tex]
g is the function of f multiplicated by -2, hence:
- It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.
- It is multiplicated by a negative value, hence it is reflected over the x-axis.
- Hence, options b and c are correct.
You can learn more about translation concepts at https://brainly.com/question/13671886
