The correct option is the last one. h is negative and k is positive.
What can we say about h and k?
For the absolute value function:
g(x) = |x - h| + k
We know that the vertex is on the point (h, k).
On the graph, we can see that the vertex is on the point (-2, 1), then we have:
h = -2
k = 1
So the sign of h is negative and the sign of k is positive. The correct option is the last one.
If you want to learn more about absolute value functions:
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