Respuesta :

k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).

The value of k is ...

... A. k = -2.5

Answer:

k=-2.5

Step-by-step explanation:

Given is a graph V shaped two straight lines symmetrical about x=1

Hence the function willbe of the form

[tex]f(x) = |x-1|+k[/tex]

To find k

When x=1, we find the graph has a minimum at (1,-2.5)

Substitute x=1 to find f(1)

f(1) = |1-1|+k=0+k=k

Since f(1) = -2.5 from the graph we have

k =-2.5

Option a is right