Answer:
g(x) = f(x) - 2
g(x) = f(x + 2)
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when x = 0.
Function f:
Graph given in this question
When
, so the y-intercept is 6.
Additionally, when 
If g has a y-intercept at 4, which of the following functions could represent g?
Either we subtract 2 from f, that is:

Or we can also add 2 on the domain, that is, moving 2 units to the right, so:

So the first two options are correct.
Answer:
slope = 1
Explanation:
slope is calculated using the following rule:
slope = (y2 - y1) / (x2 - x1)
The given points are (4,5) which represent (x1,y1) and (0,1) which represent (x2 , y2)
Substitute with these points in the above equation to get the slope as follows:
slope = (1-5) / (0-4) = 1
Hope this helps :)