Question

Please help ! (Medal will be given)

Answer 1

@terenzreignz

Answer 2

Remember that the horizontal parabola is given by the equation
y²=4px, right?
Find p, this is the key to this...

Answer 3

how do i find p ?

Answer 4

Well, write your equation such that y² is on one side and everything else is on the other.

Answer 5

I still don't even know why thr y2 in there. so why do i have to put that on the other side ?

Answer 6

No... actually, you can multiply 24 on both sides, you get
24x = y²
Right?

Answer 7

okay let me check.

Answer 8

I still don't see it. I also did it in my calc.

Answer 9

\[\large x = \frac{1}{24}y^2\]

Answer 10

alright. . .

Answer 11

so now, make it so that y² stands alone on one side of the equation, that can be done by multiplying 24 on both sides...

Answer 12

ok hold on.

Answer 13

my calu. is acting stupid so i didnt get the answer im supposed to.

Answer 14

Don't trust your calculator then, trust yourself, what's
\[\huge 24 \times \frac{1}{24}\]

Answer 15

24*24=576

Answer 16

No, that's not what was asked: If you chop something into 24 pieces, and then you take 24 of those pieces, how much do you have?

Answer 17

It looks like somebody caught the scent of something... :)

Answer 18

@Kayy_Drizzyy
\[\huge 24 \times \frac{1}{24}=\frac{24}{24}\]

Answer 19

Better? :P

Answer 20

yes much better.

Answer 21

So what is it equal to, then?

Answer 22

1

Answer 23

That's right, so you finally see how multiplying 24 on both sides of the equation gives
24x = y²
?

Answer 24

yes i do. now we need to see what my answer is.

Answer 25

Well, let me write it this way
y² = 24x
and REMIND you that we're dealing with the form
y² = 4px
In that case, what's p?

Answer 26

1 ?

Answer 27

Guessing?
See here:
y² = 24x
y² = 4px
In that case, what must be 4p?

Answer 28

whats my answer,

Answer 29

If you want to make it clearer, divide like this;

\[y^2=4px\]Divide both sides by x\[\frac{y^2}x = 4p\]
Now do the same with your equation
\[y^2=24x\]Divide both sides by x\[\frac{y^2}x=24\]
Hmm, \[4p=24\], what is \(p\)?

Answer 30

i did that but i cant find my answer

Answer 31

But you can find the value of p, though?

Answer 32

24/4=6

Answer 33

Okay, I might have said it before, but p is the key to finding the focus and the directrix.
When given a horizontal parabola
x = ay² + by + c
It opens to the right if a is positive and to the left if a is negative. To which direction does your particular parabola open?

Answer 34

i thought that's what im supposed to do.

Answer 35

is my answer x or y ?

Answer 36

Neither. For now, does the parabola open to the right or to the left?

Answer 37

to the right ?

Answer 38

Confidence....
Anyway, yes, it does open to the right. The focus is located to the right of the vertex BECAUSE it opens to the right.

Also, the focus is p-units away from the vertex. What that means is that from the vertex, move p-steps to the right, and that's your focus.

Your vertex is the origin (0,0). What's your focus?

Answer 39

6 :D am i right?

Answer 40

(0,6) actually.. right?

Answer 41

yeah (0,6) thanks for reading my lips

Answer 42

What are you doing here, @SmokeysTheName
:/

LOL

Answer 43

I'M LEARNING TERENCE!!!! CAN'T I LEARN!? :P

Answer 44

lets continue (:

Answer 45

No. It is forbidden you. So, @Kayy_Drizzyy You now know where the focus is, and actually, your directrix is also p-units away from the vertex, but in the OTHER direction, which is to the left. So where is it?

Answer 46

(0,-6)

Answer 47

thanks @SmokeysTheName lol

Answer 48

is my answer c ?

Answer 49

new answer -6 because its a line

Answer 50

WAIT a sec
NO!!!

Answer 51

YAyayaya : ) are you 100% sure that im correct ?

Answer 52

DANGGIT. i thought i had the right answer.

Answer 53

The focus is 6 steps from the vertex TO THE RIGHT!
Smokey here said (0,6), which is 6 steps UP, not to the RIGHT

Bloody hell :P

Answer 54

awh man i meant (6,0)

Answer 55

the only answer similar to what ya'll are saying is a or b which i think b

Answer 56

B is the only one where the focus is (6,0)
So yeah, go for B.

Answer 57

are you 100% ?

Answer 58

First of all, @Kayy_Drizzyy
Learn to trust yourself :P
But I'm sure.

Answer 59

Thank you very much.

Answer 60

Okay... girls, I don't know about you two, but I need to get some sleep.
--------
Terence out

Answer 61

Goodnight lol

Answer 62

goodnight terence