Question

Let f(x) = 4+

Answer 1

Answer:

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

$f(x)$ is shifted 2 units upwards to become $g(x)$

Step-by-step explanation:

Given functions:

$f(x)=4x$

$g(x)=4x+2$

On comparing the functions we find out that:

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

The translation rule for this is given as:

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Thus we can see the unit shift from $f(x)$ to $g(x)$ is 2 units upwards as 2 is being added to function $f(x)$