Hi. Please, explain the solution to this question:
If the slope of a linear equation f(x) is 2 and the y intercept is -2, then what is the y intercept of 3f(x-2)-3
If you know the slope and the y-intercept, then you know all you need to put the f(x) into slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). In this case, you have 
.
To go from there to 
, your first step should be to get the 
out of there. To do that, just put in 
everywhere the original function has 
:
If , then 
, which simplifies to 
.
Once you’ve got that, substitute and simplify:
That’s in mx + b form, so the y-intercept is –21.