What is the length of latus rectum for (y + 3)^(2)= 12(x - 1)
2 answers:
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 by using the equation
for a vertical parabola.
We can deduce that ,
, and
. Therefore, the focus of the parabola is
or
.
Because the focus is , then it is 3 units away from the vertex
, making the length of the latus rectum 3*4=12 units.
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Answers are underlined with red colour.
