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Sladkaya [172]
2 years ago
13

What is the length of latus rectum for (y + 3)^(2)= 12(x - 1)

Mathematics
2 answers:
maxonik [38]2 years ago
7 0
The answer is 12 u it’s hope this helps
Oxana [17]2 years ago
3 0

Answer:

12 units

Step-by-step explanation:

The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus (h+p,k) by using the equation (y-k)^2=4p(x-h) for a vertical parabola.

We can deduce that k=-3, h=1, and p=3. Therefore, the focus of the parabola is (1+3,-3) or (4,-3).

Because the focus is (4,-3), then it is 3 units away from the vertex (4,0), making the length of the latus rectum 3*4=12 units.

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