Question

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?
A.
It is the graph of f(x) reflected about the x-axis and shrunk vertically by a factor of 8.
B.
It is the graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.
C.
It is the graph of f(x) reflected about the y-axis and shrunk vertically by a factor of 8.
D.
It is the graph of f(x) reflected about the y-axis and stretched horizontally by a factor of 8.

Answer 1

Answer:

OTHER GUY IS WRONG!!!

Answer 2

Given that,

Each statement describes a transformation of the graph of f(x) = x.

We have to determine,

Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

According to the question,

Let, The graph f(x) = x,

Where r is the real number which is r >0.

And The graph of g(x) if g(x) = -8f(x),

The value of the r is -8.

The graph which describes the transformation of the given graph in the steps follows all the steps given below.

• The function g(x) = 8f(x) reflects stretched the graph of f(x) vertically by a factor of r.

• The function g(x) = -8f(x) reflects the graph of f(x) about the x-axis and stretched the graph of f(x) vertically by a factor of r.

• The graph of g(x) = f(8x) shrink the graph of f(x) horizontally by a factor of r.

• The function g(x) = f(-8x) shrink the graph of f(x) about the y-axis and shrink the graph of f(x) horizontally by a factor of r.

Hence, The graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.

For more details refer to the link given below.

https://brainly.com/question/21981889