2hclan696946
2hclan696946 2hclan696946
  • 16-05-2021
  • Mathematics
contestada

Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

Respuesta :

kcharuhasini7dtaksha
kcharuhasini7dtaksha kcharuhasini7dtaksha
  • 16-05-2021

Answer:

In this problem, given the focus at (2,4) and directrix at y = 8. then it is implied that the parabola is facing downwards. The vertex hence is at the middle of the focus and the directrix, hence at (2, 6). The general formula of the parabola is y-k = -4a  ( x-h)^2. Substituting, y -6 = -1/8 *(x-2)^2. Answer is A.

Answer Link

Otras preguntas

10. Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. x 2 4 8 12 y 4 2 1 2/3
How many meters tall is the statue of liberty if it is thirty times the height of a 154 centimeter person?
Find the solution, vertex, range, domain, and y-intercept of the quadratic function.
What were the main differences between the North and South prior to the Civil War?
what events occurred when president jackson force the national bank to close
Respond to the following question in 150-250 words. What precaution should you take when using a thesaurus and why?
two natural hazards that are caused by the movement of plates under earths surface are
Can the Vice President of the United States be impeached?
In Alice's Adventures in Wonderland, why does Lewis Carroll play with language in the dialogue between Alice and the Caterpillar? A. to suggest that Alice is t
What conditions are responsible for a severe rainstrom?