Final answer:
The correct relationship between Triangle ABC and Triangle A"B"C" is a dilation by a scale factor of 4, which is best represented by option B, A"B"C" = ABC x 4.
Step-by-step explanation:
The student has asked about the transformation that Triangle ABC has gone through to form Triangle A"B"C". Specifically, Triangle A"B"C" is formed by reflecting Triangle ABC over the line x = -1 and then applying a dilation with a scale factor of 4 from the origin. Given these transformation rules, we can analyze the given answer choices.
A reflection over the line x = -1 would not result in adding or subtracting something from ABC; it's a geometric transformation affecting the position, not the size of the triangle. Next, a dilation from the origin by a factor of 4 would multiply all coordinates of the triangle's vertices by 4. It's a scaling transformation affecting the size of the triangle, not the position directly.
Therefore, the correct relationship between Triangle ABC and Triangle A"B"C" is best described by the equation in option B, which states A"B"C" = ABC x 4, meaning that A"B"C" is a dilated version of ABC with the vertices being scaled by a factor of 4.