Answer:
- 9
Explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term)² to x² - 10x
g(x) = x² - 10x + (- 5)² - (- 5)² + 16
= x² - 10x + 25 - 25 + 16
= (x - 5)² - 9 ← in vertex form
vertex = (5, - 9), hence
minimum value = - 9