Question

Let f(x) = 4+

Let g(x) = 4" + 2.
Which statement describes the graph of g(x) with respect to the graph of f(x)?

Answer 1

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

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

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<0` 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)`