Differential Equations: Laplace Transforms - Translation on the t-axis (second translation theorem)

In this lecture, we introduce the unit step function (or Heaviside Function) and how it is incorporated into the Second Translation Theorem. Examples using the Second translation theorem and its inverse are presented

[gentlemandude]

5:24 What exactly do you mean by "the translation paired with the Heaviside function"? You don't show any working for that so your conclusion seems to come from nowhere. Thanks.