Which parabola will have a minimum value vertex?

The last choice.

Step-by-step explanation:

That would be the last one, with a minimum value of -4.

IV graph

Step-by-step explanation:

Given is a picture consisting of 4 parabolas with first 3 open up and last one open down.

We are to find the minimum value vertex

Seeing the graph we can write coordinates of vertex as where they turn their direction.

Hence vertices are

Graph           Vertices        y value

I                      (0,5)               5

II                     (0,0)               0

III                    (1,2.5)             2.5

IV                   (0,-4)              -4

Of the 4 y values, IV graph has the minimum value vertex