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3 years ago

I will give brainliest to the right answer!! Find the vertex and the length of the latus rectum. x= 1/2 (y - 5)² + 7

Mathematics

1 answer:

MAXImum [283]3 years ago

7 0

Answer:

(7, 5)
2

Step-by-step explanation:

When the quadratic is written in vertex form:

x = a(y -k)^2 +h

the vertex is (x, y) = (h, k), and the length of the latus rectum is 1/a.

For your given equation, ...

x = (1/2)(y -5)^2 +7

you have a=1/2, k = 5, h = 7, so ...

the vertex is (7, 5)

the length of the latus rectum is 1/(1/2) = 2

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