Question

The function f(x) = 2X is shifted 4 units left. The result is g(x). What is g(x)?

Answer 1

Explanation

We are required to determine the equation of the line whose parent function (f(x)) is shifted 4 units left.

$f(x)=2x$

This is achieved thus:

We know that the following rules of transformation exist:

Therefore, we have:

$\begin{gathered} \text{ If f\lparen x\rparen is shifted 4 units left, then} \\ g(x)=f(x+4) \\ g(x)=2(x+4) \end{gathered}$

Hence, the answer is:

$g(x)=2(x+4)$