Question

What are the coordinates of the vertex of the graph of y = x^2 - 8x - 12?

Answer 1

`(4,-28)`

Explanation:

Recall that the x-coordinate of the vertex is
`x=-(b)/(2a)`, therefore:

`x=-(b)/(2a)`

`x=-(-8)/(2(1))`

`x=4`

Now we find f(4) to get the y-coordinate of the vertex:

`f(x)=x^2-8x-12`

`f(4)=4^2-8(4)-12`

`f(4)=16-32-12`

`f(4)=-16-12`

`f(4)=-28`

Therefore, the vertex of the graph is
`(4,-28)`