Question

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

Answer 1

Answer:

a. 6

Step-by-step explanation:

i took the test

Answer 2

Answer:

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

$k=6$

Step-by-step 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 $k$ 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:

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

∴ $k=6$