Ask your own question, for FREE!
Mathematics 22 Online
OpenStudy (anonymous):

Help!

OpenStudy (anonymous):

5. What is an equation of a parabola with the given vertex and focus? vertex: (5, 4) ; focus: (8, 4)

OpenStudy (anonymous):

If you say so.

OpenStudy (anonymous):

Can u help @TrashMan914 @ZeHanz

OpenStudy (anonymous):

Hello?

OpenStudy (anonymous):

I am present.

OpenStudy (anonymous):

can u help

OpenStudy (anonymous):

Working on it.

OpenStudy (anonymous):

@TrashMan914 do you have it?

OpenStudy (anonymous):

@satellite73

OpenStudy (anonymous):

@ZeHanz can u help

OpenStudy (zehanz):

Formula to use is: (y-b)²=2p(x-a)². Vertex: (a, b), Focus (0.5p, b)

OpenStudy (anonymous):

would it be x= or y=

OpenStudy (zehanz):

Sorry, typed a ² too much: (y-b)²=2p(x-a) This is when the line of symmetry is horizontal, which it is in this case, because the vertex and the focus have the same y-coordinate.

OpenStudy (anonymous):

So whicj would it be? y =1/12(x + 4)2 – 5 x =1/12(y + 4)2 – 5

OpenStudy (anonymous):

*which

OpenStudy (zehanz):

You fill in the points and the you have to convert yourself. Vertex = (5, 4), so a = 5, b = 4. Focus = (8, 4) so 0.5p=8 Put all these things in (y-b)²=2p(x-a) and rearrange to see what answer you have to choose.

OpenStudy (anonymous):

is it A. that was my orignial answer

OpenStudy (zehanz):

Well, I do not get to that: (y-4)²=2*2*8(x-5), so (y-4)²=32(x-5) x-5=1/32 (y-4)² and thus x = 1/32 (y-4)² + 5

OpenStudy (anonymous):

could the 1/32 be simplified to 1/12

OpenStudy (anonymous):

@ZeHanz

OpenStudy (anonymous):

1/32 cannot be simplified to 1/12.

OpenStudy (anonymous):

but 1/32 isn't any of my choices

OpenStudy (anonymous):

x = 1/32 (y-4)^2 + 5 is not a finished equation. You need to solve it.

OpenStudy (anonymous):

but it looks exactly like my choices except for the 1/32

OpenStudy (anonymous):

x =1/12(y – 4)2 + 5 y =1/12(x + 4)2 – 5 x =1/12(y + 4)2 – 5 y =1/12(x – 4)2 + 5 @trashman914 these are the choices

OpenStudy (zehanz):

You are right! I´ve made a mistake in the value of p. I would put my money on A. Gonna recalc to see what I did wrong...

OpenStudy (anonymous):

oh ok... thanks

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!