Final answer:
To apply the transformations Ry-axis ∘ Rx-axis to point T (-3, 7), we first reflect the point across the y-axis to get (-3, -7), and then reflect the point across the x-axis to keep the x-coordinate the same and change the sign of the y-coordinate, resulting in (-3, -7).
Step-by-step explanation:
To apply the transformations Ry-axis ∘ Rx-axis to point T, we first need to understand what each transformation does.
The transformation Ry-axis reflects a point across the y-axis. This means that the x-coordinate remains the same, but the sign (positive or negative) of the y-coordinate changes. So, when we apply Ry-axis to point T (-3, 7), the x-coordinate remains -3, but the y-coordinate changes to -7.
Next, the transformation Rx-axis reflects a point across the x-axis. This means that the y-coordinate remains the same, but the sign of the x-coordinate changes.
Since we already applied Ry-axis in the previous step, the x-coordinate for point T' will be the same as the original x-coordinate of T (which is -3), and the y-coordinate will be -7. Therefore, the coordinates of point T' after applying Ry-axis ∘ Rx-axis are (-3, -7).