Final answer:
The question asks for the result of applying reflections over the x-axis and y-axis to the points A(9,-3), B(6,4), and C(-1,-5). Reflection over the x-axis negates the y-component, and reflection over the y-axis negates the x-component. The answer can only be either reflection over the x-axis or y-axis, but not both or none.
Step-by-step explanation:
The student's question involves applying transformations to the points A(9,-3), B(6,4), and C(-1,-5). The transformations listed are reflections over the x-axis, y-axis, and determining whether any or all of the above apply.
Reflection over the x-axis (Rx-axis) negates the y-component of each point, leaving the x-component unchanged. For point A(9,-3), this results in A'(9,3). For point B(6,4), this results in B'(6,-4). Lastly, for point C(-1,-5), this results in C'(-1,5).
Reflection over the y-axis (Ry-axis) negates the x-component of each point, leaving the y-component unchanged. Thus, point A(9,-3) would transform to A'(-9,-3), point B(6,4) to B'(-6,4), and point C(-1,-5) to C'(1,-5).
Lastly, option C) None of the Above is not applicable as we have defined transformations for both x-axis and y-axis reflections, and D) All of the above suggests that both reflections should be applied, which is not possible simultaneously for a single transformation. So, the correct answer can only be either reflection over the x-axis or y-axis depending on the question prompt.