The transformation from the graph of f(x) to the graph of g(x) is g(x)=f(x)-5
The transformation from the graph of f(x) to the graph of g(x) = f(x) + k involves shifting the graph vertically.
The value of k determines the amount and direction of the shift. If k is positive, the graph of g(x) will be shifted upward, and if k is negative, the graph will be shifted downward.
In this case, the graph of f(x) is given by the points (-4,-1), (-3,0), (-2,-1), (-1,-2), and (0,-3).
Adding a constant value of k to each y-coordinate will result in the graph of g(x).
For example, if k = -5, the corresponding points for g(x) will be (-4,-6), (-3,-5), (-2,-6), (-1,-7), and (0,-8).
The probable question may be:
Describe the transformation from the graph off to the graph of g.
x -4,-3,-2,-1,0
f(x) -1,0,-1,-2,-3
g(x)=f(x)+k -6,-5,-6,-7,-8