Çözüldü Parabola - Derivative - Analytic Geometry

The equation of a certain parabola is given by y - x^2 = 16 - 10x. The vertex of this parabola is at (n, m) and the parabola has a y-intercept at y = t. What is the value of n + m + t ?

SAT Math Mastery: Essential Algebra 1 & Algebra 2
https://singlelogin.re/book/5864584/f6323e/sat-math-mastery-essential-algebra-1-algebra-2.html
(Page 460, Question: 19, Solution Without Derivative: Page 474)

Solution Without Derivative:

https://i.servimg.com/u/f72/19/97/10/39/sat33.png

Solution Using Derivative:
y' = 2x - 10 = 0 ⇒ x = 5 = n
y - 5^2 = 16 - 10·5 ⇒ y = -9 = m
y - 0^2 = 16 - 10·0 ⇒ y = 16 = t
n + m + t = 5 - 9 + 16 = 12.