Question

Someone help me please !
(PICTURE BELOW)

Answer 1

@phi @satellite73 @Hero

Answer 2

rewrite the equation in the form \(4py=x^2\). the focus is at \((0,p)\) and the directrix is \(y=-p\)

Answer 3

I did that. I'm still stuck on my answer. I'm a little confused.

Answer 4

\[y=\frac{1}{12}x^2\]
if you multiply both sides by 12, what would you get?

Answer 5

Meaning 12x12

Answer 6

\[12(y)=12(\frac{1}{12})x^2\\12y = x^2 \]

Answer 7

compare \(12y=x^2\) and \(4py=x^2\), what can you conclude?

Answer 8

Alright so wht would my answer be ?

Answer 9

compare the coefficients of \(y\). what is the value of \(p\)?

Answer 10

i got b am i right

Answer 11

that's not correct, dear.
\[12 = 4p\\3=p\]
now, the focus is at \((0,p)\) and the directrix is \(y=-p\)

sub the value of p and you'll have the correct answer.

Answer 12

a ?

Answer 13

hello @sirm3d

Answer 14

focus at \((0,p)\) where \(p=3\)

the focus would have the coordinates \((0,3)\)

Answer 15

I want to check my answer. Is it c @satellite73

Answer 16

the focus is \((0,3)\) because this is in the form
\[12y=x^2\] so \(4p=12\implies p=3\)

Answer 17

therefore since the vertex is \((0,0)\) the directrix is 3 units down, namely at \(y=-3\)

Answer 18

as usual, it is C

Answer 19

Yes correct. I went over all this with the guy about but i'm now im over my answer. And i want to your right or wrong for my answer and i got c ?

Answer 20

Thank you @satellite73