Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4

1 answer:

7 0

We are given with the focus coordinates of (0,-4) and a directrix equation of y=4,. we are asked for the equation of the parabola. The vertex of the parabola should lie in between the directrix and the focus. Hence, vertex should be at (0,0). the curve goes downwards. and the length of the latus rectum is 4. Hence the equation is x2=-16y

You might be interested in

Which function is the inverse of f(x) = 2x + 3?

olga_2 [115]

Answer: Option 2

Step-by-step explanation:

Let f(y)=x.

$x=2y+3\\\\x-3=2y\\\\y=\frac{1}{2}x-\frac{3}{2}\\\\f^{-1}(x)=\frac{1}{2}x-\frac{3}{2}$

8 0

2 years ago

Can someone help me please

Damm [24]

Answer:

17 inches

Step-by-step explanation:

7 0

3 years ago

A kite is flying 76 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 589. Find the length

olchik [2.2K]

Answer:

Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.

Step-by-step explanation:

4 0

3 years ago

A line passes through the point 2, -3 and has a slope of 9

Anton [14]

Answer:

Y=9x-21

Step-by-step explanation:

6 0

3 years ago

What is the greatest common factor of 12x 16x 8x

slega [8]

Answer:

Step-by-step explanation:

The Factors of 12

1,12, 2,6 3,4

1,16 2,8 4,4

1,8 ,2,4

The highest factor they share is 4 so it would be the GCF. Then you would have to add the x back into the GCF

Hope It helped

8 0

3 years ago