Question

What is the vertex of the parabola? Assume p > 0.

(0, p)
(0, -p)
(0, 0)
(p, 0)
(-p, 0)

Answer 1

give a ring to Mr P, he's greater than 0, so he's home, he'd know where the vertex is at

Answer 2

I like your response :). Medaled ;).

Answer 3

=)

Answer 4

sorry im confused

Answer 5

I mean, we don't have a picture or equation for the posting
so, unless I use my crystal ball, which I don't have, sadly
or use my clairvoyance powers, which I sadly lack
then we're a bit on the lurch

Answer 6

all i got was the information i gave in my first question so im as confused as you are man

Answer 7

hmmm I just noticed the "edited" version of the posting
hmmm I see the choices

Answer 8

hahah yeah

Answer 9

hmmmm that's very ambiguous for one
choices A and D both have positive "p"
so both are valid for that reason alone

Answer 10

is p defined anywhere? is p distance between the focus and the vertex?

Answer 11

the only info i got was the info in the vary first question

Answer 12

but in your class are you using p to mean anything specifically ?

Answer 13

for some reason I think you are using that p is the distance between the focus and vertex
(or the directrix and vertex which is equivalent distance)

Answer 14

this is an online class so i really dont have any idea what is happening half the time

Answer 15

ok

Answer 16

PART A

T he equation for a parabola with directrix y = –p and focus (0, p) is:
https://hanwingspanps.owschools.com/media/g_alg02_ccss_2015/8/equation_parabola.gif

PART B

A parabola can be translated so that its vertex is not at the origin or on an axis. (Remember that a translation moves or maps every point the same distance and direction.)

The equation for a parabola with directrix y = k – p and focus (h, k + p) is:
https://hanwingspanps.owschools.com/media/g_alg02_ccss_2015/8/equation_parabola_directrix.gif

The value of k changes the placement of the parabola. Assume that p > 0. There are 3 cases to consider:

1.k > 0
2.k = 0
3.k < 0

PART C

The zeros of the polynomial are the same as the roots of the equation
https://hanwingspanps.owschools.com/media/g_alg02_ccss_2015/8/roots_of_equation.gif

Answer 17

@freckles i have no idea if this will help but this is the info they gave me

Answer 18

that does help

Answer 19

we are given the directrix is y=-p and the focus is (0,p)
the vertex is suppose to lay right smack between this two items.

Answer 20

what ordered pair lays right smack between the ordered pair (0,p) and the point (0,-p) (this point falls directly underneath the focus and lays on the directrix)