3.41: Quadratic inequality and tangent at a minimum

Solve the inequality $3x^{2} - 12x + 16 > 3x + 4$.

Write $3x^{2} - 12x + 16$ in the form $a(x + b)^{2} + c$ where $a$, $b$ and $c$ are integers.

Hence, write down the equation of the tangent to the curve $y = 3x^{2} - 12x + 16$ at the minimum point of the curve.