Question

Determine and state the vertex of f(x) = x² – 2x – 8 using the method of completing the square.

Answer 1

(1,-9)

Explanation:

`f(x)=x^2-2x-8 \\\\f(x)=(x^2-2x+1)-1-8 \\\\f(x)=(x-1)^2-9`

Since the form of a parabola in vertex form is
`a(x-h)^2+k`, where h is the x coordinate of the vertex and k is the y coordinate, the vertex of this parabola is at (1,-9). Hope this helps!