Question

what's the standard equation of an ellipse in standard form and how do I make one with the vertex and co-vertex?

Answer 1

@iGreen

Answer 2

No idea.. @hartnn

Answer 3

@ganeshie8 @aaronq @Compassionate @TheSmartOne

Answer 4

that so confused me...

Answer 5

this is the problem I'm trying to solve: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (-3,0) and co-vertex at (0,2)

Answer 6

wait, is it: x^2/3+Y^2/2=1?..

Answer 7

Almost,
the standard equation for an ellipse centred at origin with semi-axes a,b is
\(\large \frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)

Answer 8

nonono.. it's x^2/9+y^2/4=1... because they're supposed to be squared..

Answer 9

lol. I just realized that..

Answer 10

Good job! :)

Answer 11

so it is that, and not x^2/4+y^2/9=1, right?

Answer 12

You need to square the semi-axis, so it's your later equation.

Answer 13

which one? is the 9 under the x^2 or the y^2? @mathmate

Answer 14

*axes (plural)

x^2/9+y^2/4=1 is correct.
See the "a^2" and "b^2" in the standard equation? they correspond to (-3)^2 and 2^2)

a corresponds to the x-intercept and
b corresponds to the y-intercept.

Answer 15

okay, thanks :)

Answer 16

You're welcome! :)