Question

find the vertex f(x)= x^2-2x-8

Answer 1

first we derive f(x)

Answer 2

f´(x) = 2x - 2

Answer 3

then 2x -2 = 0
x = 1

Answer 4

we evaluate x = 1 at original equation

Answer 5

f(x) = y = 1^2 - 2 (1) - 8
= 1 - 2 - 8 = -9

Answer 6

vertex i located at ( 1 ; -9)

Answer 7

It was a pleaure to help you