Given the function of the conic section:
This conic section is a hyperbola.
Use this form below to determine the values used to find vertices and asymptotes of the hyperbola:
Match the values in this hyperbola to those of the standard form.
The variable h represents the x-offset from the origin b, k represents the y-offset from origin a.
We get,
a = 4
b = 3
k = 3
h = -2
A. The first focus of a hyperbola can be found by adding the distance of the center to a focus or c to h.
But first, let's determine the value of c. We will be using the formula below:
Let's now determine the value of c.
Let's now determine the coordinates of the first foci:
B. The second focus of a hyperbola can be found by subtracting c from h.
Therefore, the conic section has two focus and their coordinates are 3,3 and -7,3.
In other forms, the foci of the hyperbola is:
Therefore, the answer is letter B.