Question

Which function has a vertex at (2, 6)?

a. f(x) = 2|x - 2| - 6
b. of(x) = |2x - 2| + 6
c. f(x) = |2x + 2| + 6
d. f(x) = |2x + 2| - 6

Answer 1

The function that has a vertex at (2, 6) is f(x) = |2x + 2| + 6.

Step-by-step explanation:

The function that has a vertex at (2, 6) is option c. f(x) = |2x + 2| + 6.

To determine the vertex of a function in the form f(x) = |ax + b| + c, we can use the formula (-b/a, c).

In this case, a = 2, b = 2, and c = 6. Plugging these values into the formula gives us (-2/2, 6), which simplifies to (-1, 6). Therefore, the vertex of the function is (2, 6).