Answer:
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
