Question

Find the following values to the equation of the ellipse (x+3)^2/25 + (y-7)/100= 1.

a. Center [1 point]
b. Vertices [1 point]
c. Length of minor axis [1 point]
d. Length of the major axis [1 point]
e. Foci [1 point]

Answer 1

http://www.mathwarehouse.com/ellipse/images/translations/translation_2_0.gif

can you see the center, based on that picture?

Answer 2

I know my center is (-3, 7)

Answer 3

I need help on solving the other ones

Answer 4

ok

Answer 5

as you can see, the bigger DENOMINATOR is under the "Y" numerator, so, that means the ellipse is moving over the Y, or vertically

Answer 6

and as you'd know, the denominators, are just the "minor and major axis" in squared form

Answer 7

so 5 and 10 would be my minor and major axis

Answer 8

yes

Answer 9

you didn't write it but I guess "(y-7)/100" is meant to be \(\cfrac{(y-7)^2}{100}\)

Answer 10

so you're at (-3,7) and then you move upwards on the major axis by "10", or \(\large (-3, 7 \pm 10)\)

Answer 11

and those would be your vertices

Answer 12

what would be my vertics? and if i go up 10 that would be my major? what are you saying?

Answer 13

you got your center, and you have also your axis, right?

Answer 14

no I only have my center

Answer 15

as you can see, the bigger DENOMINATOR is under the "Y" numerator, so, that means the ellipse is moving over the Y, or vertically

Answer 16

and as you'd know, the denominators, are just the "minor and major axis" in squared form

Answer 17

so is 10 my minor or major and is 5 my minor or major?

Answer 18

the bigger off the two denominators, is the "major", and the smaller is well, the "minor" :)

Answer 19

wherever the BIGGER DENOMINATOR is under, is over where the ellipse moves
if it's under the "X numerator", the ellipse moves horizontally, over the x-axis
if it's under the "Y numerator", the ellipse moves vertically, over the y-axis

Answer 20

ok so if I go up 10 from (3, -7) that would be one of my vertics

Answer 21

?????????

Answer 22

(3, 17) and (-3, 17)

Answer 23

7+10=17
7-10 \(\ne\)17

Answer 24

ok what does that mean then?

Answer 25

you said up 10 I went up 10?

Answer 26

yes, and that's good, but 10 down, is not-so-good, hehe cuz \(\large 7-10\ne17\)

Answer 27

so (3, 17) and (3, -3)

Answer 28

so you're at (-3,7) and then you move upwards on the major axis by "10", or \(\large (-3, 7 \pm 10)\)

Answer 29

are my vertices

Answer 30

and those are your vertices, yes

Answer 31

-3, 17 and -3, 3

Answer 32

well, 7-10, is ?

Answer 33

anyhow, you already have it, (3, 17) and (3, -3)

Answer 34

or (-3,17), (-3,-3) rather