Question

Identifying Conic Sections help, please!

Answer 1

Conic sections are the curves which can be derived from taking slices of a "double-napped" cone.

Answer 2

I understand all of it besides the last part, and I have -9(x-7)^2 + 16 (y-5)^2=144

Answer 3

I know that I multiply (1/144) by each side but the (-9) is throwing me off.

Answer 4

its an hyperbola

Answer 5

But How do you get the final equation so you know it's a hyperbola?

Answer 6

-9 (x-14) x+16 (y-10) y-185 = 0

Answer 7

-9 (x-7)^2+16 (y-5)^2-144 = 0

Answer 8

So, the final equation we want looks like this: (x-h)^2/a^2-(y-k)^2/b^2=1
From your equation above, is the next step to divide 144?

Answer 9

yeah

Answer 10

OKay, this is where I get confused because wouldn't it be: -9/144(x-7)^2+16/144(y-5)^2=1

Answer 11

yes

Answer 12

did i help you?

Answer 13

Sorry my computer crashed. Ok so I'm getting an ellipse. (X+7)^2/16 + (y-5)^2/9=1

Answer 14

nope its an hyperbola

Answer 15

When you divide 144 to -9(x-7)^2 would your result be (x+7)^2/16 because the -1 makes x-7^2 a positive (x+7)^2

Answer 16

Never mind! I got it!! Thanks for your help! The equation would be: (y-50^2/9-(x-7)^2/16