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)
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