Question

question 35 points 1

find the vertex of the absolute value function \\(y = 7|x - 3| - 2\\).

\\((3, -2)\\)

\\((-3, -2)\\)

Explanation:

Identify the vertex form of the absolute value function

$$ y = a|x - h| + k $$

Extract the parameters from the given equation

$$ y = 7|x - 3| - 2 \implies a = 7, \quad h = 3, \quad k = -2 $$

Determine the vertex coordinates

$$ (h, k) = (3, -2) $$

Answer:

• (3, -2) (Correct answer)
• (-3, -2)