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What is the vertex and p-value of this parabola?

What Is The Vertex And Pvalue Of This Parabola class=

Sagot :

sqdancefan

Answer:

  • vertex: (-7, 5)
  • p = 2

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5

View image sqdancefan
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