Question

Write the equation of the ellipse shown in the graph

Answer 1

Answer:

The correct option is 1.

Step-by-step explanation:

The standard form of an ellipse is

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

Where, (h,k) is the center of ellipse, 2a is the width of the ellipse and 2b is height.

From the given figure it is clear that the center of the ellipse is (-1,2), the width of the ellipse is 4 and the height of the ellipse is 6.

$h=-1,k=2$

$2a=4\Rightarrow a=2$

$2b=6\Rightarrow b=3$

Substitute h=-1, k=2, a=2 and b=3 in equation (1).

$\frac{(x-(-1))^2}{2^2}+\frac{(y-2)^2}{3^2}$

$\frac{(x+1)^2}{4}+\frac{(y-2)^2}{9}$

Therefore the correct option is 1.

Answer 2

A. (x+1)^2/4 + (y-2)^2/9=1