Question

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

Answer 1

1

Explanation:

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Answer 2

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.