Answer:
Step-by-step explanation:
y = C(x - 1/3)(x - 1/3)(x + 1/4)
y = C(x² - 2/3x + 1/9)(x + 1/4)
y = C(x³ - 2/3x² + 1/4x² + 1/9x - 1/6x + 1/36)
y = C(x³ - 5/12x² - 1/18x + 1/36)
now to account for the y intercept (x = 0)
-3 = C((0)³ - 5/12(0)² - 1/18(0) + 1/36)
-3 = C(1/36)
C = -108
distribute the C term across all variables.
y = -108x³ + 45x² + 6x - 3
we can verify our solution using a plotting calculator.
