Help!
5. What is an equation of a parabola with the given vertex and focus? vertex: (5, 4) ; focus: (8, 4)
If you say so.
Can u help @TrashMan914 @ZeHanz
Hello?
I am present.
can u help
Working on it.
@TrashMan914 do you have it?
@satellite73
@ZeHanz can u help
Formula to use is: (y-b)²=2p(x-a)². Vertex: (a, b), Focus (0.5p, b)
would it be x= or y=
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.
So whicj would it be? y =1/12(x + 4)2 – 5 x =1/12(y + 4)2 – 5
*which
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.
is it A. that was my orignial answer
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
could the 1/32 be simplified to 1/12
@ZeHanz
1/32 cannot be simplified to 1/12.
but 1/32 isn't any of my choices
x = 1/32 (y-4)^2 + 5 is not a finished equation. You need to solve it.
but it looks exactly like my choices except for the 1/32
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
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...
oh ok... thanks
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