I am having a really hard time with this section. My teacher will be absent tomorrow and I have a test on Monday. I don't understand this. So, for practice could anyone help me out and show me step by step how to do some problems?

In my book, it says:

"use the Vertex Form: y - k = a (x - h)^2

Write an equation of the parabola having V as the vertex and containing P."

Ex.1

V(3, 5) ; P(4,7)

Ex.2

V(-1 ,1) ; P(1, 3)

I don't understand what to do. Do I just plug these in to the above formula and that's the answer or do I solve to get a = something?