When reflected over the x-axis and then dilated by a scale factor of 2 the points become (0,8), (-4,8), (-2,14) and (2,14). We need to know about reflection about axes and dilation.
When a point is reflected about the x-axis the x-coordinate remains same but the sign of the y-coordinate changes.When a point is reflected about the y-axis the sign of the x-coordinate changes while the y-coordinate remains same.When a point is reflected about the origin the sign of both the x-coordinate and the y-coordinate changes. Dilating a figure means changing it's shape or size by a scaling factor, the points are multiplied by the corresponding scaling factor. In this question we have to reflect the points about x-axis and dilate by a scale factor of 2. When the points will be reflected about the x-axis the new points will be (0,4) , (-2,4) , (-1,7) and (1,7). Then we have to dilate by a factor of 2, the final points will be (0,8), (-4,8) ,(-2,14) and (2,14).
After reflecting over x-axis and then dilating by a scale factor of 2 the points (0,-4), (-2,-4), (-1,-7) and (1,-7) become (0,8), (-4,8), (-2,14) and (2,14).
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