Question

The graphs of functions f(x) and g(x) = f(x) + k are shown:

7
6
5
g(x)
4
3
f(x)
2
2
-2
-34
What is the value of k?
+

Answer 1

9514 1404 393

Explanation:

k = 2

The point (0, 0) on the graph of f(x) tells you f (0) = 0.

The point (-4, 0) on the graph of g(x) tells you g (-2) = 0.

Now we know that

g(-2) = 0 = f(0) = f(-2+k)

or ...

0 = -2+k

2 = k

The value of k is 2

so the answer to you problem is k=2