Consider the equation y = (x + 2)^2 – 3. What is the length of the focal width of the parabola?

Question

asked Jan 1, 2022 131k views

2 Answers

David Pascoal · Answer 1 · 2022-01-07T16:05:44+0000

Answer:

The length of the focal width of the parabola is 1.

Explanation:

Suppose we have a parabola with the following equation:

(x - h)^2 = 4p(y - k)

The centre is at point
(h,k) .

The length of the focal width is of |4p|.

In this question:

We want to place in the general format. So

y = (x+2)^2 - 3

(x+2)^2 = 1(y + 3)

Comparing, we have that 4p = 1. So the length of the focal width of the parabola is 1.