Answer:
y = (x - 3)² - 3
Step-by-step 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 - 6x
Given
y = x² - 6x + 6
= x² + 2(- 3)x + 9 - 9 + 6
= (x - 3)² - 3 ← in vertex form
