Question

How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.

A. The graph of g is a vertical compression of the graph of f.
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.

Answer 1

Answer:A

Step-by-step explanation:

Answer 2

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:

$f(x) = |x|$

$g(x) = -2|x|$

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