Question

The graph shows the function f(x)=∣x−h∣+k. What is the value of k?

A. k=−2.5
B. −1
k=−1
C. k=1
D. k=2.5

Answer 1

The value of k is k=1.

Step-by-step explanation:

To find the value of k in the function f(x)=∣x−h∣+k, we can use the given graph. The function f(x)=∣x−h∣+k represents the absolute value function, which is a V-shaped graph. The value of k represents the vertical shift of the graph. By observing the graph, we can see that the graph is shifted 1 unit upwards, indicating that k=1.

The absolute value function f(x)=∣x−h∣+k has a characteristic V-shape with its vertex at (h, k). In this case, since the graph is shifted 1 unit upwards, the value of k is 1. Therefore, the correct answer is k=1.

The graph of the absolute value function f(x)=∣x−h∣+k provides a visual representation of how the function behaves. By understanding the properties of absolute value functions and analyzing the graph, we can determine that the value of k in this particular function is indeed 1.