Respuesta :

Answer:

C. The center of the hyperbola is (0, 0).

The y-intercepts are (0, 5) and (0, –5).

The domain is all real numbers.

The range is {y | y ≤  –5 or y ≥ 5}.

Step-by-step explanation: I just did it

Lanuel

Based on the graph of this conic section, we can deduce the following points;

  1. The center (a, b) is equal to (0, 0)
  2. The x-intercepts are equal to (6, 0) and (-6, 0)
  3. The y-intercepts are equal to (0, 6) and (0, -6)
  4. The domain is equal to  [tex](x | -6 \leq x \leq 6)[/tex]
  5. The range is equal to [tex](y | -6 \leq y \leq 6)[/tex]

What is a conic section?

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In mathematics, there are four (4) types of conic section and these include:

  • Hyperbola
  • Parabola
  • Ellipse
  • Circle

Based on the graph of this conic section, we can deduce the following points;

  1. The center (a, b) is equal to (0, 0)
  2. The x-intercepts are equal to (6, 0) and (-6, 0)
  3. The y-intercepts are equal to (0, 6) and (0, -6)
  4. The domain is equal to  [tex](x | -6 \leq x \leq 6)[/tex]
  5. The range is equal to [tex](y | -6 \leq y \leq 6)[/tex]

Note: Range represents the minimum and maximum value of a data set.

Read more on conic section here: https://brainly.com/question/8320698

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