Question

8) Find the equation of the parabola whose focus is (-3, 0) and the equation of the directrix is x = 3.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

According to definition of parabola , is is the locks of the points in that planes that are equidistant from both focus and directrix.

Given, focus : (-3,0)

directrix : x + 5 = 0

Let (x ,y) is the point on the parabola .

∴ distance of point from focus = distance of point from directrix

⇒

(x+3)

2

+y

2

=∣x+5∣/

(1

2

+0

2

)

⇒

(x+3)

2

+y

2

=∣x+5∣

squaring both sides,

(x + 3)² + y² = (x + 5)²

⇒y² = (x + 5)² - (x + 3)²

⇒y² = (x + 5 - x - 3)(x + 5 + x + 3)

⇒y² = 2(2x + 8) = 4(x + 4)