Hello. Please help me with my Algebra homework. I am stress And so tired. Please help me as soon as possible please

Question

1.) Identify the value of p for the parabola.

A.) p = 20

B.) p = −5

C.) p = −20

D.) p = 5

2.) Identify the asymptotes of the hyperbola.

A.)

B.)

C.) y = 0, x = 0

D.)

Please help me

Answer 1

1) p = 1 / 4a

2) y = k ± (x - h)

Answer 2

p is the length of the semi-latus rectum, the vertical distance through the focus to either side of the parabola.

in x-h (1/4f)(y-k)^2 standard form, the latus rectum = 4f and p=2f

in the given equation 4f=20, 2f=10 = p

none of the answers are correct. IF you had to choose a "best" answer, it would be D) 5

It's closest to 10.

the parabola is leftward opening, vertex (8,-2) focus (3,-2) directrix x=13, latus rectum = the distance from (3,8) to (3,-12) = 20. p= 20/2 = 10. (3,8) and (3,-12) are points on the parabola directly above and below the focus.

D) is the answer for the hyperbola asymptotes

general equation is (x-h)^2/a^2 - (y-k)^2/b^2 = 1

for (x+2)^2/121 - (y-5)^2/81 = 1 h=-2, k=5, a=11, b=9

formula for asymptotes for a hyperbola parallel to the x axis

is

y-k= + or - (b/a)(x-h) + k. plug in the values and you get the answer in D)