Question

How do you write an equation of an ellipse in standard form given `2(x+4)^2 + 3(y-1)^2 = 24`?

Answer 1

This is very close.

Explanation:

The standard form has a `1` on the right hand side so you only have to divide by `24`.

`2(x+4)^2 + 3(y - 1)^2 = 24`

`(2(x+4)^2)/24 + (3(y - 1)^2)/24 = 24/24`

Standard form:

`(x+4)^2/12 + (y - 1)^2/8 = 1`