Answer:
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 ad a is a multiplier
Here (h, k ) = (8, - 1 ) , then
y = a(x - 8)² - 1
To find a substitute (0, - 17 ) into the equation
- 17 = a(0 - 8)² - 1 ( add 1 to both sides )
- 16 = 64a ( divide both sides by 64 )
= a , that is
a = - ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
y = -
(x - 8)² - 1 ← equation of parabola