Final answer:
The equation y = 22 - 6x + 8 is not a quadratic equation but a linear one; therefore, the concept of a vertex does not apply, making option (a) Not applicable the correct choice.
Step-by-step explanation:
The question is about finding the vertex of a quadratic equation in the form y = 22 - 6x + 8. The standard form of a quadratic equation is y = ax^2 + bx + c. However, the given equation does not have the quadratic term (ax^2), which means it is not a quadratic equation but a linear one. Therefore, the concept of a vertex does not apply to linear equations as it does for quadratic equations. Instead, a linear equation represents a straight line, and it does not have a maximum or minimum point like the vertex of a parabola.
The correct answer to the student's question is: (a) Not applicable, since the vertex concept applies to quadratic functions, not linear equations.