A point is translated on the coordinate plane from (4, -1) to (4, 2). Journey writes the function g (y) = y + k to describe the translation. what is the value of k?
To find the value of k, we need to determine the difference between the y-coordinates of the two points. In this case, the y-coordinate changes from -1 to 2, so the difference is 2 - (-1) = 3.
Since the function g(y) = y + k, we need to find k such that when we substitute -1 for y, g(y) gives us the new y-coordinate, which is 2. Thus, we have:
g(-1) = -1 + k = 2
Solving for k, we subtract -1 from both sides of the equation:
k = 2 - (-1) = 2 + 1 = 3
Therefore, the value of k is 3.