Answer:
The y-intercept of g(x) is 4.
Step-by-step explanation:
The linear function has the equation f (x) = m*x + n where, m and n are real numbers called slope (m) and y-intercept (n).
When performing a vertical translation of a function, the graph will move from one point to another determined point in the direction of the "y" axis, that is, up or down. In this way the value of n is modified.
In the function f (x) = - 4x-2, the y-intercept has a value of -2. If this function is translated vertically 6 units up, then the new y-intercept value is -2 + 6 = 4
So, <u><em>the y-intercept of g(x) is 4.</em></u>