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Which graph shows a dilation?
Answer: Graph 1 depicts the dilatation between the aforementioned graphs.
- In graphs, dilation means multiplying each side by the same scale factor. This means that the scale factor of each dilated side to its respective old side before dilatation must be the same.
- The first graph is a rectangle; the pre-dilated image contains two units along the y-axis and four units across the x-axis. It now has 4 units along the y-axis and 8 units across the x-axis after dilation. This implies that the scale factor in both axes is 4/2 = 2 and 8/4 = 2. Because they have the same scale factors, this graph displays a dilation.
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