Answer: f(x) =
(x - 4)² - 1
Explanation:
The parabolic function is given in the form f(x) = a(x - h)² + k where a is amplitude, h is the horizontal shift, and k is the vertical shift. This means we have an amplitude of one half, and horizontal shift of 4 units right (written as -4 since h is negative), and a vertical shift of 1 unit down (written as -1). This corresponds to:
f(x) =
(x - 4)² - 1