The graph shown below expresses a radical function that can be written in the form f(x) = a(x + k)^1/n + c. what does the graph tell you about the value of a in this function?

The value of a is 3

Step-by-step explanation:

Given the graph which shows a radical function that can be written in the form .

we have to tell about the value of a in this function below.

The parent function of given graph is

As the given function of graph is the square root function which shows

n=2 and the vertex is (-k,c)

From the graph it is clear that (-5,2)

⇒ k=5, c=2

Now, we have to find the value of a

Now, graph passes through the point (-4,5)

Hence, put all the values in order to find the value of a

⇒

⇒

⇒ a=3

The value of a is 3