Question

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

Answer 1

Answer: minimum at (3,6)

Step-by-step explanation: a p e x

Answer 2

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