Answer:
y = (x - 3)² - 7
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
Since the coefficient of the x² term is 1
add/subtract (half the coefficient of the x-term )² to x² - 6x
f(x) = x² + 2(- 3)x +9 - 9 + 2
= (x - 3)² - 7
