Hi Math Help Forum! (Bow)

I'm having problems in English written exercises, such as:

The quadratic function which takes the value at and the value at and is minimized at is:

And the minimum value of this function is:

So, what does "minimized at" means in this problem? The vertex of the function?

It would be extremely helpful if someone do the steps for this one too! :3

Salutations from Brazil! :3