What is the equation of the parabola that has its vertex at (8,-1) and a y-intercept of (0, -17)?
A) y= -1/4(X + 8)2 - 1
B) y = -1/4(x - 3)2 + 1
C) y= -1/4(x - 3)2 - 1
D) y=1/44* - 8)2 - 1

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 = -

y = - (x - 8)² - 1 ← equation of parabola

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right