Answer: Second Option
[tex]f (x) = 2 | x-2 | +6[/tex]
Step-by-step explanation:
For a function of the form:
[tex]f (x) = a | x-h | + k[/tex]
The vertex is always at the point (h, k)
In this case we know that the vertex is in the point (2, 6) and [tex]a = 2[/tex]
This means that
[tex]h = 2\\\\k = 6[/tex]
Therefore the function that has its vertivce in the point (2, 6) is:
[tex]f (x) = 2 | x-2 | +6[/tex]
The correct answer is the second
