Find the vertices of the ellipse.

(x + 7)^2 + (y + 5)^2/(1/4) = 1

for your equation

a^2 = 1 , so a = ±1
b^2 = 1/4, so b = ±1/2

vertices along the x-axis: (1,0) and (-1,0)
vertices along the y-axis: .........