Question

The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –A. k = –2.5

B. k = –1
C. k = 1
D. k = 2.5

Answer 1

k=-2.5

Explanation:

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

Hence the function willbe of the form

`f(x) = |x-1|+k`

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

Answer 2

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