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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