Question

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

6
-3
-6
3

Answer 1

a. 6

Explanation:

i took the test

Answer 2

`g(x)=f(x+6)`

`k=6`

Explanation:

Given:

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

Function transformation rule used:

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

If value of
`k>1` then the graph shifts
`k` units to the left.

If value of
`k<1` then the graph shifts
`k` units to the right.

From the graph, it is clear that the function
`g(x)` has moved 6 units(-4 to-10) to the left of
`f(x)`. This shows that the value of
`k>1` and it is
`=6\ units`

Thus the transformation rule can be given as:

`g(x)=f(x+6)`

∴
`k=6`