Question

find the value of k in the function \\(y = |x| - 9\\).

a. 9
b. -9
c. 1/9
d. -1/9

Explanation:

Identify the standard transformation form

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

Compare the given function to the standard form

$$ y = |x| - 9 \implies a = 1,\quad h = 0,\quad k = -9 $$

Extract the value of k

$$ k = -9 $$

Answer:

• a. 9
• b. -9 (Correct answer)
• c. 1/9
• d. -1/9