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

Answer:

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

Step-by-step 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