Question

Write an equation of an ellipse in standard form with the center at the origin and with the given (1 point)

characteristics.
vertex at (-3,0) and co-vertex at (0, 2)

Answer 1

Answer:
`(x^(2) )/(9) +(y^(2) )/(4) =1`

Explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse
`(x^(2) )/(a^(2)) +(y^(2))/(b^(2)) =1`.

`(x^(2) )/(a^(2)) +(y^(2))/(b^(2) ) =1`

`(x^(2) )/(-3^(2)) +(y^(2) )/(2^(2) ) =1`

`(x^(2) )/(9 ) +(y^(2) )/(4) } =1`

Answer 2

Answer: x^2/9 + y^2/4 = 1

Explanation: