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  • 19-11-2018
  • Mathematics
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Find the equation of a parabola with its vertex at the origin and a focus of (-8,0)

Find the equation of a parabola with its vertex at the origin and a focus of 80 class=

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lisboa lisboa
  • 19-11-2018

the equation of a parabola with its vertex at the origin and a focus of (-8,0)

vertex is (0,0), h=0  and k=0

Focus is (-8,0)

Focus is (h+p, k)

We know h=0  and k=0

(0+p, 0) is (-8,0)

p = -8

General form of equation is

[tex](y-k)^2=4p(x-h)[/tex]

h=0, k=0 and p =-8

[tex](y-0)^2=4(-8)(x-0)[/tex]

[tex]y^2= -32x[/tex]

Answer : option A


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roxannerivera roxannerivera
  • 02-12-2019

Answer:

y^2=-12x

Step-by-step explanation:

hope this helps

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