Question

The blue transformed function has been inverted relative to the parent function. That is because the value of ""a"" in the vertex form of the function equation is a ____ number.

A) Positive
B) Negative
C) Zero
D) Variable

Answer 1

When the blue transformed function is inverted relative to the parent function, it means that the value of 'a' in the vertex form of the quadratic equation is negative.

Step-by-step explanation:

The question relates to the transformation of functions in mathematics, specifically the effect of the coefficient 'a' in the vertex form of a quadratic function. If the blue transformed function has been inverted relative to the parent function, this indicates that the function has been reflected across the x-axis. It is a characteristic of quadratic functions that such inversion occurs when the coefficient 'a' in the vertex form (y = a(x - h)² + k) is a negative number. Therefore, the correct answer to the question is B) Negative.