Question

@BlackLabel
What Is An Equation Of A Parabola With The Given Vertex And Focus?
Vertex: (-2,5); Focus: (-2,6)

Answer 1

wtf is a focus???
Lemme google that

Answer 2

Lmao, Alright

Answer 3

This is new for me. I have never come across it
Using the focus and the vertex we use the following formula to find our equation
(x – h)2 = 4p(y – k)
h= x-value of our vertex
k= y-value of the vertex
p= the distance btwn the focus and the vertex \( \to y_1-y_2\)

Answer 4

What is our h,k and p?

Answer 5

h= -2
k= 5
p= 1?

Answer 6

or p=-1?

Answer 7

p= focus -Vertex ----> 6-5=1

Answer 8

Ok so it is p=1

Answer 9

\[(x – h)^2 = 4p(y – k) \]
Plugging in the values we get
\[(x+2)^2=4(1)(y-5)\]
\[(x+2)^2=4(y-5)\]
Divide both sides by 4
\[\frac{1}{4}(x+2)^2=(y-5)\]
Add 5 to both sides
\[\frac{1}{4}(x+2)^2+5=y\]
And there we go

Answer 10

I Love You ♥

Answer 11

Love you too ♥

Answer 12

Can You Help Me With One More? C:

Answer 13

Just Juan

Answer 14

ya sure go for it

Answer 15

A Radio Station Has A Broadcast Area In The Shape Of A Circle With Equation x^2+y^2=5,625, Where The Constant Represents Square Miles.
a. Find The Intercepts Of The Graph And State The Radius In Miles.
b. What Is The Area Of The Region In Which The Broadcast From The Station Can Be Picked Up?

Answer 16

Ok x-intercept is when y=0
so lets plug y=0 into the equation and see what x equals
\[x^2+(0)^2=5625\]
Square root both sides
\[x=\sqrt{5625}=75\]
So the x intercept is (75,0)

Answer 17

Since it is a circle we can assume that the y intercept is 75 too but lets do it algebraically anyways
The y-intercept is when x=0
So lets plug x=0 into the equation and see what y equals
\[(0)^2+y^2=5625\]
Square root both sides
\[y=\sqrt{5625}=75\]
So the y-intercept is (0,75)

Answer 18

Ohhh fu.ckkkkk
hmmmm gotta add smth

Answer 19

Lmao