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, the y-intercept of g(x) is 4.
The y-intercept for the function g(x) is 4.
The y-intercept of a function is a point where the line crosses the y-axis. The linear function can be given as below.
[tex]f(x) = mx +n[/tex]
Where m is the slope of the line and n is a real number and y-intercept of the line.
The given function is f(x)=-4x—2. The function is vertically translated 6 units up to g(x).
The y-intercept of the function f(x) is -2. Then the y-intercept for the function g(x) can be given as below.
y-intercept g(x) = -2+6
y-intercept g(x) = 4
Hence we can conclude that the y-intercept for the function g(x) is 4.
To know more about the y-intercept, follow the link given below.
https://brainly.com/question/329422.
