Question

The Vertex of a parabola is at (8-1), and it's why intercept is negative 17, which function represents the parabola

Answer 1

The function is equal to
`y=-(1/4)(x-8)^(2)-1`

Explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

`y=a(x-h)^(2)+k`

where

a is a coefficient

(h,k) is the vertex

In this problem we have

(h,k)=(8,-1)

substitute

`y=a(x-8)^(2)-1`

Find the value of a

Remember that we have the y-intercept

The y-intercept is the point (0,-17)

substitute

x=0,y=-17

`-17=a(0-8)^(2)-1`

`-17=64a-1`

`64a=-17+1`

`64a=-16`

`a=-16/64`

`a=-1/4`

therefore

The function is equal to

`y=-(1/4)(x-8)^(2)-1`

see the attached figure to better understand the problem