Complete the square to rewrite y=x^2-6x+15 in vertex form then state whether the vertex is a maximum or minimum and give its coordinates

Question

asked Aug 11, 2019 188k views

2 Answers

Lucienne · Answer 1 · 2019-08-17T09:38:20+0000

Answer: y = (x - 3)² + 6, vertex is a minimum (3, 6)

Explanation:

y = x² - 6x + 15

-15 -15

y - 15 = x² - 6x

y - 15 + 9 = x² - 6x + 9

↑ ↓ ↑

(-6)/(2) = -3, (-3)² = 9

y - 6 = (x - 3)²

y = (x - 3)² + 6