Find the equation of the set of points which are equidistant from the origin and the line x = −2. sketch this set of points.

  y² = 8x    

Step-by-step explanation:

The set of points which are equidistant from one point and from a line is a parabola.

In this particular case we have directrix line × = -2 so that means focus must be on the x-axis and with coordenates f (2,0) and p = 2 (the distance between the vertex and the focus with that information we can get the equation

vertex ( 0, 0)     p = 2 the parabola open to the left so is of the form

y² =- 4*p*×           ⇒  y² = 8x    

dhhghghghhrhbb it 5

d

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!