I need help ASAP I’ll mark as brainliest

A

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (2, - 1), thus

y = a(x - 2)² - 1

To find a substitute (5, 8) into the equation

8 = a(5 - 2)² - 1

8 = 9a - 1 ( add 1 to both sides )

9 = 9a ( divide both sides by 9 )

a = 1

Thus

y = (x - 2)² - 1 → A