You haven't asked a question!
Centre of ellipse is at (-3,5) where centralised major and minor axes intersect.
V1(0,5), V2(-6,5), V3(-3,5+√3), V4(-3,5-√3) are the vertices. The length of the major axis is 2×√9=2×3=6.
The length of the minor axis is 2√3. The graph shows that it's simpler to work out all the coordinates in relation to the centre of the ellipse.
For example, the centre is (-3,5) and V1 is 3 units to the right, making it (3-3,5)=(0,5); V2 is 3 units to the left, making it (-3-3,5)=(-6,5). Similarly for V3 and V4, where the displacements are vertical, so have the same x coordinates, and the displacements are relative to y=5.