Q:

Ariel completes the square for the equation x2 - 16x + 17 = 0. Which of the following equations reveals the vertex of the parabola?A.y = (x - 4)^2 - 47 B.y = (x - 9)^2 - 47 C.y = (x - 6)^2 - 45 D.y = (x - 8)^2 - 47

Accepted Solution

A:
x² - 16x + 17 = 0
x² - 16x + 8² - 8² + 17 = 0
(x - 8)² - 64 + 17 = 0
(x - 8)² - 47 = 0 

-----------------------------------------------------------------------------------------
Answer: y = (x - 8)² - 47 (Answer D)
-----------------------------------------------------------------------------------------