PLEASE HELP How is the graph of the function g(x) =2/5x + 6
transformed from the graph of the function
f(x) =2/5x?
A-Moved up 6 units
B-Moved down 6 units
C-Moved left 6 units
D-Moved right 6 units

Option 4- Graph of g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

Given : Graph of          

To find : How does the graph of g(x) compare to the graph of the parent function

Solution :  

The graph f(x) is being translated to form the graph g(x).

In graph  there is

Translation of 4 unit left and 6 unit downward.

In graph f(x) if we shift the graph with 4 unit left it form

f(x)→f(x+b) , the function is shifted towards left with b unit.

So,

In graph f(x) if we shift the graph with 6 unit downward it form

f(x)→f(x)-a , the function is shifted downward with a unit.

So,

Therefore, Option 4 is correct.

Graph of g(x) is shifted 4 units left and 6 units down from f(x).

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).