Answer:
k = 5
Explanation:
To translate means to change the position of something from point A to another point B. Moving a graph to another position either up, down, left or right is known as translation.
The translation rule states that a graph of f(x + a) moves the function f(x) a units to the right. Therefore the graph of g(x) as shown is the same as the graph of f(x) being moved k units to the left.
The graph of f(x) is moved from -4 to -9 that is 5 units to the left. Therefore from g(x) = f(x + k) = f(x + 5). k = 5 units