Question

Which function has a vertex at (2, 6)? f(x) = 2|x – 2| – 6 f(x) = 2|x – 2| + 6 f(x) = 2|x + 2| + 6 f(x) = 2|x + 2| – 6

Answer 1

Answer: Second Option

$f (x) = 2 | x-2 | +6$

Step-by-step explanation:

For a function of the form:

$f (x) = a | x-h | + k$

The vertex is always at the point (h, k)

In this case we know that the vertex is in the point (2, 6) and $a = 2$

This means that

$h = 2\\\\k = 6$

Therefore the function that has its vertivce in the point (2, 6) is:

$f (x) = 2 | x-2 | +6$

The correct answer is the second