The function y = - 7/4x - 2 is transformed by shifting it to the right 12 units. What is the equation of the new function?

Y = - 7/4x + 19

You can get this by noting that at x = 12 of your new equation, y must equal - 2 since it does presently on the y axis and you'll be shifting 12. So, you now have an ordered pair and the slope must stay the same. Then you can solve for the new y intercept by plugging in and solving for it.