Answer:
- length: 8
- end points: (-8, 1), (0, 1)
Step-by-step 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).
<h3>Application</h3>
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).
