awatson6104
awatson6104 awatson6104
  • 16-05-2022
  • Mathematics
contestada

Write the standard form of the equation of the parabola with the given focus or directrix and
vertex (0, 0).
focus: (5, 0)

Respuesta :

jsimpson11000 jsimpson11000
  • 16-05-2022

Answer:

x = 1/20 y^2

Step-by-step explanation:

This is a rightward opening  (sideways ) parabola

Directrix = x = -5

Distance formula form point x,y  to directrix and focus are equal:  

(x - -5)^2 = (x-5)^2 + y^2

x^2 + 10x + 25 = x^2 - 10x  + 25 + y^2

20x = y^2

x = 1/20 y^2

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