Question

PLS HELP ILL GIVE BRAINLIEST What are the coordinates of the center of the ellipse?

Answer 1

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

$\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1$

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)