sydney72 sydney72
  • 26-05-2017
  • Mathematics
contestada

what is the equation of a parabola with (-1,-3) as its focus and y=1 as its directrix?

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 26-05-2017
hmm, y=1 is directix
means it opens up or down
we will be using
(x-h)²=4p(y-k) where (h,k) is vertex and p is the distnace from focus to vertex and from vertex to direcitx
focus is (-1,-3)
find distance between y values because directix is a y value
midpoint is the vertex
from -3 to 1 is 2 units
since focus is below directix, it opens down, and p is negative
it is 2 units above focus
so at (-1,-1)
and p=-2

(x-(-1))²=4(-2)(y-(-1))
(x+1)²=-8(y+1) is da equation
Answer Link

Otras preguntas

Why are charities important to a democratic society
Who was the medical detective hired to trace the typhoid fever outbreak in Oysterbay Long Island
what factors contributed to the expansion of native american voting rights in new mexico
a. Write a piecewise function for the graph.b. Use the graph to evaluate f(0).c. Use the graph to evaluate f(3). ​
After women in New Mexico won the right to vote, how did New Mexico’s state offices change?
24 divided by 48 and show work
Please answer this quick for me
what is preservative prefix​
. During what season would a locality in Pennsylvania experience an unbalanced budget due to excess water being brought in? Why? Fall – Due to cooler weather an
I need help I can’t do this