real analysis - Example of a non trivial endomorphism of the space of continuous functions?

Can someone give me an example of a nontrivial endomorphism of the space of continuous functions $R$ to $R$, besides derivation and multiplication by a scalar?

I know other endomorphisms exists, but I don't want some pathological thing I would like a concrete, explicit example besides the ones I already know.

Answer

Is such example

$$\Phi(f)(x)=f(2x)$$ good for you? This is rescalling in the argument.

This example has a quite natural extension. Let $h:\Bbb R\to\Bbb R$ be a continuous bijection. Define

$$\Psi(f)(x)=f\bigl(h(x)\bigr).$$