Respuesta :
Answer:
vertex = (2, - 14 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
(h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² - 4x - 10
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(- 2)x + 4 - 4 - 10
= (x - 2)² - 14 ← in vertex form
with vertex (h, k ) = (2, - 14 )
