What is the reflection of image p(0,0) after two reflections, fort across x= -3 and then across y =4

Option C (-6, 8).

Step-by-step explanation:

Reflection is one of the linear transformations in which the shape of the figure does not change but the orientation changes. For this transformation, a line of reflection is required. All the points and their associated images are equidistant from the line of reflection. In this case, the initial point is (0, 0). When this point is reflected along the line x = -3, the point gets reflected to (-6, 0). The reason for this is that the line of reflection is 3 units away from the original point. Therefore, the image should also be 3 units away from the reflection line but on the opposite side. So adding up both the distances will yield 6 units. Since the movement is on the left side, therefore, the image will be (-6, 0). Similarly, if the line if reflected along the line y = 4, then the image would be 8 units (4 units distance between the line of reflection and the first image plus 4 units distance between the line of reflection and the second image). Therefore, the point will be (-6, 8). Therefore, the answer will be Option C!!!