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NO LINKS!!! Please help me with this problem​

NO LINKS!!! Please help me with this problem​-example-1

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Answer:

  • length: 8
  • end points: (-8, 1), (0, 1)

Explanation:

In the quadratic form ...

(x -h)² = 4p(y -k)

The value 4p is the length of the latus rectum. It also tells the distance between the vertex (h, k) and the focus (h, k+p).

Application

The value of 4p is given as 8. This means p = 8/4 = 2.

The length of the latus rectum is 8.

The end points of the latus rectum have the same y-value as the focus:

y = k +p = -1 +2 = 1

The end points of the latus rectum have x-values that are h±2p.

x = h ± 2p = -4 ± 2·2 = {-8, 0}

The end points of the latus rectum are (-8, 1) and (0, 1).

User Or Choban
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