dylancanaan01 dylancanaan01
  • 04-04-2018
  • Mathematics
contestada

A parabola has its vertex at (2, 2), and the equation of its directrix is y = 2.5. The equation that represents the parabola is

Respuesta :

musiclover10045
musiclover10045 musiclover10045
  • 04-04-2018
Vertex = (2,2)
 Directrix = y=2.5

line of symmetry is the Y value in the vertex = 2

subtract directrix from Y value of vertex
2 - 2.5 = -0.5
 focus = 2, (2-.5) = (2,1.5)

 now distance for a point

2.5 -y = sqrt(x-2)^2 +y-1.5)^2)

(2.5-y)^2 = (x-2)^2 + (y-1.5)^2

6.25 - 5y +y^2 = (x-2)^2 + y^2 -3y +2.25


(x-2)^2 = -2(y-2)




Answer Link

Otras preguntas

two forms of solid carbon diamond and graphite different in their physical properties due to the differences in their
Why is man a special creature? What two worlds does he share in?
a giraffe can run 46.93 feet per second how many feet can it run in 1.8 seconds with out cross multiplying justify your awnser
Polished metals have a metallic luster, which means that?
What is an analogy for democracy?
What is .368 written in expanded form?
what would happen if the chromosome number were not reduced before sexual reproduction?
If you know two points on a line, how can you find the rate of change of the variables being graphed?
If you know two points on a line, how can you find the rate of change of the variables being graphed?
Jane watched one television program for 1/4 of an hour and then changed channels to watch another program for 20 min. Write an equation to describe the fraction