Answer:
D
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) = (8, - 1), thus
y = a(x - 8)² - 1
To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.
- 17 = a(0 - 8)² - 1
- 17 = 64a - 1 ( add 1 to both sides )
- 16 = 64a ( divide both sides by 64 )
a = [tex]\frac{-16}{64}[/tex] = - [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex](x - 8)² - 1 → D
