Respuesta :

Mehek
The lines have the same slope, so they'll be moving the same exact way except they have different y-intercepts.

Answer:

The graph of g(x) is a translation of f(x) 2 units down.      

Step-by-step explanation:

Given : Graph of [tex]g(x)=3x-2[/tex] and [tex]f(x)=3x[/tex]

To find : How does the graph of g(x) compare to the graph of f(x)?

Solution :

[tex]f(x)=3x[/tex]

[tex]g(x)=3x-2[/tex]

We can re-write the g(x) as

[tex]g(x)=f(x)-2[/tex]

The translation of a function is defined as

[tex]g(x)=f(x)+b[/tex]

where, b is vertical shift.

If b>0, then f(x) shifts b units up and if b<0, then f(x) shifts b units down.

On comparing, b=-2<0.

So, the graph of f(x) shifts 2 units down.

The graph of g(x) is a translation of f(x) 2 units down.