Question

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

Answer 1

Answer:

1

Step-by-step explanation:

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Answer 2

Answer:

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

Step-by-step 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.