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Mathematics 8 Online
OpenStudy (lovelyharmonics):

i need help from @Luigi0210 and @halorazer

OpenStudy (lovelyharmonics):

yay c: can you help me with some questions

OpenStudy (lovelyharmonics):

Find the vertex, focus, directrix, and focal width of the parabola. negative 1 divided by 40 x squared equals y

OpenStudy (lovelyharmonics):

okay soooooothe vertex would be 0,0 right?

hartnn (hartnn):

nopes

hartnn (hartnn):

how did u calculate it ?

OpenStudy (lovelyharmonics):

i put it into a calculator .-. the parabola runs straight through the point 0,0..... plus all of my choices state that 0,0 is the vertex cuz its the only choice

hartnn (hartnn):

oh, vertex, yes thats 0,0 i was looking for focus :P

OpenStudy (lovelyharmonics):

XD okay the focus is 0,-10

hartnn (hartnn):

correct :)

OpenStudy (lovelyharmonics):

the diretrix is 10

OpenStudy (lovelyharmonics):

and the focal length is 40 c:

OpenStudy (lovelyharmonics):

wait just kidding focal length is 160...

hartnn (hartnn):

directrix is "y=10" correct :) i forgot how to calculate focal length :P

OpenStudy (lovelyharmonics):

oh .-. hummmm let me look it up on google \

hartnn (hartnn):

lol, then how did YOU calculate it ?? :O

OpenStudy (lovelyharmonics):

its more of a, eye the graph and guess kinda thing c:

hartnn (hartnn):

focal length is distance between focal point to vertex!

hartnn (hartnn):

so it would be 0-(-10) = 10 :)

OpenStudy (lovelyharmonics):

well the only answer with a focal length of 10 has a diretrix of -10 and focus of 0,10

hartnn (hartnn):

focus = 0,-10 directrix : y=10 are surely correct, so choose that option

OpenStudy (lovelyharmonics):

but the focus on the question say +10 and you keep putting -10 and they keep say the diretrix is -10 and you keep saying its +10 .-. youre like completely opposite

OpenStudy (lovelyharmonics):

Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 160 Vertex: (0, 0); Focus: (-20, 0); Directrix: x = 10; Focal width: 160 Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 40 Vertex: (0, 0); Focus: (0, 10); Directrix: y = -10; Focal width: 10

OpenStudy (lovelyharmonics):

those are my choices .-.

hartnn (hartnn):

who are 'they' ?? let me confirm online... http://www.wolframalpha.com/input/?i=y%3D+%28-1%2F40%29x%5E2 click on "properties"

OpenStudy (lovelyharmonics):

the answer people :P

OpenStudy (lovelyharmonics):

so then if that says that then the focal length obviously has to be eitehr 40 or 160

hartnn (hartnn):

for \(y = 4ax^2\) focal width = 4a

hartnn (hartnn):

the question is \(y =(-1/40)x^2\) right ?

OpenStudy (lovelyharmonics):

yes c:

hartnn (hartnn):

a =-40 so focal width = |4*-40| =|- 160| = 160 :)

OpenStudy (lovelyharmonics):

yay c: thank you ^.^

hartnn (hartnn):

welcome ^_^

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