Question

How do the graphs of f(x)= |x| and g(x)= 3|x| relate?

Answer 1

Answer:

Option C

Step-by-step explanation:

Let f(x) be a function and b a positive real numer, then:

$y = bf(x)$ represents a compression on a factor b of the function f(x).

In this case we have the function:

$f(x) = |x|$

If we do :

$y = 3f(x)$ we have:

$y = 3|x|$

And the original function f(x) is compressed by a factor of 3. Observe the attached image

Then, the answer is the correct option is option C

Answer 2

Answer:

Option C is the answer.

Step-by-step explanation

Here the red  graph is for f(x) = l x l

and blue graph is for f(x) = 3 lx l

on multiplying f(x) by 3 we get the graph g(x)  

from the graph of both we can easily see that with respect to red  graph  (lxl)

the blue graph (3lxl ) gets shrunk

SO this is what the relation between f(x) and g(x)

that graph of g(x) is vertically shrunk of graph f(x).