mjfantbh23
mjfantbh23 mjfantbh23
  • 03-08-2021
  • Mathematics
contestada

What equation represents the parabola with focus (-1,4) and directrix y= -2

Respuesta :

caylus
caylus caylus
  • 03-08-2021

Answer:

Hello

y=(x+1)/12 +1

Step-by-step explanation:

[tex]\text{As the directrice is horizontal:}\\\\\\y=-2 ==> k=-2\\\\Focus=(a,b)=(-1,4)\\\\\boxed{y=\dfrac{x-a}{2(b-k)} +\dfrac{b+k}{2} }\\\\\\y=\dfrac{x+1}{2(4+2)} +\dfrac{4-2}{2} }\\\\\boxed{y=\dfrac{x+1}{12} +1}\\[/tex]

Answer Link

Otras preguntas

Use the Quadratic Formula to solve x2 + 20x + 98 = 0
quotient of 3 divided by 927
Which of the following is NOT the same as 13.6 milliliters? - 0.0136 dkL - 0.0136 L - 0.136 dL
How do you find the arctan 4/3 without using the calculator. Show your solution.
Chan Buddhism focuses predominantly on
Karl Marx wrote in The Communist Manifesto that the history of man had been defined by what? class struggle economic inequality natural sel
The producers at the beginning of Earth's food chain are _____.
3. Which statement below is NOT true? (1 point) Deforestation makes soil vulnerable to drying out. Deforestation results in loss of roots that stabilize so
One pipe fills a tank in 1 hour while another pipe can fill the same tank in 2 hours. How long will it take to fill the tank if both pipes are used?
The LA theorem is a special case of the _____. A. SAS postulate and SSS postulate B. AAS theorem and SSS postulate C. AAS theorem and ASA postulate