Question

This little guy is annoying.
http://gyazo.com/ae8382ea043cf4d43c5dfc637f165dbf

(x+11.5)^2/30.25 - (y-1.5)^2/4 = 1

Answer 1

you're trying to find the equation based on the graph?

Answer 2

I am @jim_thompson5910

Answer 3

do you see where the left edge of the box is? what x coordinate is this?

Answer 4

-11.5

Answer 5

I'm thinking -11

Answer 6

since it's halfway between -12 and -10

Answer 7

how about the right edge?

Answer 8

Oh yeah... okay so -11 and 1

Answer 9

add them up and divide by 2

Answer 10

doing that gives you what?

Answer 11

(x+11)^2/9 - (y-1)^2/4 = 1

Answer 12

\[\Large \frac{-11+1}{2} = ??\]

Answer 13

doing that calculation gives the x coordinate of the center

Answer 14

-5

Answer 15

good

Answer 16

now do the same for the top and bottom edges

Answer 17

9 - -7/2
8?

Answer 18

Add not subtract \[\Large \frac{9 + (-7)}{2} = \frac{2}{2} = 1\]

Answer 19

So the center is (-5,1)

Answer 20

\[\Large \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\]

(h,k) is the center
a = half of the horizontal length of the box
b = half of the vertical length of the box

hyperbola looks like this