a(x - (-9))(x - (-3)) = a(x - (-6))² + (-1)
a(x + 9)(x + 3) = a(x + 6)² - 1
a(x² + 3x + 9x + 27) = a(x² + 12x + 36) - 1
ax² + 12ax + 27a = ax² + 12ax + 36a - 1
27a = 36a - 1 |subtract 36a from both sides
-9a = -1 |divide both sides by (-9)
a = 1/9
ax² = 1/9x²
12ax = 12·1/9x = 4/3x
27a = 27·1/9 = 3
Answer: y = 1/9x^2 + 4/3x + 3