Question

Which of the following is the function for the graph below?

Answer 1

Answer: f(x) =
`(1)/(2)`(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) =
`(1)/(2)`(x - 4)² - 1