Question

help
indicate which type of conic the following represents
(x-3)^2/9+(y-2)^2/4=1

Answer 1

ellipse

Answer 2

x^2/a + y^2/b = 1 is general eq of ellipse
so
x-3 and y-2 just represents shifting of the center of ellipse

Answer 3

how would we know that? i mean i have other prob;ems like that but u kno hw u said elipse how can i figure it out

Answer 4

oh really that is?
i didmt know that

Answer 5

(x=1)^2/25+(y-2)^2/25=1 would also be an elipse then right?

Answer 6

@nisa
http://en.wikipedia.org/wiki/Ellipse
read about elements of the ellipse

Answer 7

yes if it`s x-1 instead of x = 1

Answer 8

alright i will read that thank you
so the second one that i said would not be an elipse unless it was x-1 which its not

Answer 9

look to get hold of this concept just learn 2 things
1. definition of the ellipse, this will help you right the general equation of ellipse
2. shifting of the axes/ origin

so when ever you notice things like x-a instead of x where a is constant it just means that the curve shifted the position but the shape does not change at all

Answer 10

and x is the shape

Answer 11

*write
so you getting some idea about it ?

Answer 12

and anything plus or minus it is just a curve or a change but not in the shape

Answer 13

any + or - constant is just shifting of curve with no change in shape

Answer 14

alright got it thank you :)

Answer 15

great!!

Answer 16

i really appreciate it :)