taijaababy

09.01.2020 • 

Mathematics

Aparabola has a focus of f(−2,−6)and a directrix of x=−4. p(x,y) represents any point on the parabola, while d(−4,y) represents any point on the directrix. match each numbered step with the correct step in the process of finding the equation of the parabola using the distance formula. 1.fd=fp 2.(x−2)2+(y−6)2=(x−4)2+(y−y)2 3.x2+4x+4+y2+12y+36=x2+8x+16 4.y2−12y+24=4x 5.−14y2−3y+6=x 6.14y2+3y+6=x 7.fp=dp 8. (x−(−2))2+(y−(−6))2=(x−(−4))2+(y−y)2 x2−4x+4+y2−12y+36=x2−8x+16 9. y2+12y+24=4x

(ignore the steps, you decide the steps)

Ответ:

Christyy1837

14.01.2022

Mathematics

---

Refer to the figure shown below.

The distance from the focus to the directrix is equal to the distance from the focus to an arbitrary point on the parabola.
Therefore, FD = FP.
FD² = (x = (-4))² = (x+4)²
FP² = (x-(-2))² + (y -(-6))² = (x+2)² + (y+6)²

Obtain
(y+6)² + (x+2)² = (x+4)²
(y+6)² = (x+4)² - (x+2)²
          = (x+4+x+2)(x+4-x-2)
          = (2x + 6)(2)
          = 2x + 12
2x = (y+6)² - 12
x = (1/2)*(y+6)² - 6

The equation for the parabola is x = (1/2)*(y+6)² - 6

---

0,0(0 оценок)

Ответ:

wingleo1112

18.07.2021

Mathematics

---

idk google it

Step-by-step explanation:

---

0,0(0 оценок)