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Which inequality in vertex form represents the region less than the quadratic function with vertex (-2, 2) and includes the point (-4, 14) on the boundary?

Which inequality in vertex form represents the region less than the quadratic function with vertex 2 2 and includes the point 4 14 on the boundary class=

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The inequalty that represents the statement must be y < - 6 · (x + 2)² + 2. (Right choice: None)

What is the inequality associated to a given statement

The standard form of the equation of the parabola is defined by the following expression:

y - k = C · (x - h)²     (1)

Where:

  • h, k - Vertex
  • C - Vertex constant

Now we proceed to find the vertex constant: (h, k) = (- 2, 2) and (x, y) = (- 4, 14)

14 - 2 = C · [- 4 - (- 2)]²

12 = C · (-2)

C = - 6

The equation of the parabola in vertex form is

y - 2 = - 6 · (x + 2)²

y = - 6 · (x + 2)² + 2

Then, the inequalty that represents the statement must be y < - 6 · (x + 2)² + 2. (Right choice: None)

To learn more on inequalities: https://brainly.com/question/20383699

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