Question

If you shift the linear parent function, f(x) = x, up 6 units, what is the equation of the new function?

A. g(x) = X
B. g(x) = x + 6
C. g(x) = 6x
D. g(x) = x - 6​

Answer 1

The equation of the new function, after shifting the linear parent function f(x) = x up 6 units, is g(x) = x + 6.

Step-by-step explanation:

The equation of the new function, after shifting the linear parent function f(x) = x up 6 units, is g(x) = x + 6.

To obtain the new function, we add 6 to the original function. This means that for any value of x, the corresponding value of g(x) is obtained by taking the value of f(x) and adding 6 to it.

For example, if x = 3, the original function gives us f(3) = 3, and the new function gives us g(3) = 3 + 6 = 9.