Laplace transform/step function question. Please show all steps, including partial fractions if applicable

Homemade 1. Let f (t) = (4 - 12 ) u(t) + (+2 + 2t - 15) u(t - 3) + (12 - 2t) u(t - 6). Express f(t) in piecewise form, sketch the graph of f(t), and find Cif (t) }