Question

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

Answer 1

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).

Answer 2

Option C

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