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  • 19-11-2018
  • Mathematics
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Write the standard form of the equation for the parabola shown in the graph.

Write the standard form of the equation for the parabola shown in the graph class=
Write the standard form of the equation for the parabola shown in the graph class=

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lisboa lisboa
  • 20-11-2018

Answer : option A

From the graph

Vertex (-3,1)

Focus (-1,1)

The distance between vertex and focus is P

Distance between vertex and focus = -1 -(-3) = 2

P= 2

General equation for horizontal parabola is

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

(h,k) is the vertex

Vertex (-3,1)  so h= -3  and k =1, we know p = 2

So equation becomes

[tex](y-1)^2= 4(2)(x-(-3))[/tex]

[tex](y-1)^2= 8(x+3)[/tex]

Answer : option A



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