T(-2x²) = -3x² - 3x, T(0.5x + 4) = -2x² + 3x - 1, T(2x² + 1) = -3x - 4.
Find T(1), T(x), T(x²), and T(ax² + bx + c), where a, b, and c are arbitrary real numbers.
T(1) = -3x² - 6x - 4
T(x) = 20x² + 54x + 30
T(x²) = \frac{3}{2}x² + \frac{3}{2}x
T(ax² + bx + c) = \left(-3c + 8b + \frac{3}{2}a\right)x² + \left(-6c + 42b + \frac{3}{2}a\right)x + (-4c + 30b)