Respuesta :

The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)

What is the solution set for inequality?

The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.

Given that:

  • y < x² - 2x - 8

By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:

[tex]\mathbf{4\times \dfrac{1}{4}(y-(-9)) = (x-1)^2}[/tex]

Therefore, the parabola properties are:

  • The solution set of the domain is (-∞, ∞)
  • Vertex(h,k) = (1, -9)
  • Focal length |p| = 1/4

Learn more about the solution set of inequality here:

https://brainly.com/question/1496731

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