4
QuizMultiple Choice

Conic Sections — Quiz

Question 4 • Precalculus

Consider the equation y is equal to open paren x plus 2 close paren squared minus 3 What is the length of the focal width of the parabola?

Answer
A
16 units
B
1 unit
C
4 units
D
12 units

Explanation

Rewrite the equation as (x + 2)^2 = y + 3. Comparing with the standard form (x − h)^2 = 4p(y − k), we get 4p = 1. The focal width (length of the latus rectum) is |4p|, so it is 1 unit, choice B.

AI-written and checked against the verified answer.

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