Take note that to get from P to P' (which reads P prime), we simply go up 2 units and to the right 3 units like this:
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So to translate the figure, just translate each point up 2 units and to the right 3 units to get the new figure.
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Start with the given figure
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Locate point A and move up 2 units and to the right 3 units to find A' (A prime)
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So the new point A' looks like this
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Locate point B and move up 2 units and to the right 3 units to find B' (B prime)
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So the new point B' looks like this
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Locate point C and move up 2 units and to the right 3 units to find C' (C prime)
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So the new point C' looks like this
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Locate point D and move up 2 units and to the right 3 units to find D' (D prime)
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So the new point D' looks like this
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Locate point E and move up 2 units and to the right 3 units to find E' (E prime)
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So the new point E' looks like this
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Locate point F and move up 2 units and to the right 3 units to find F' (F prime)
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So the new point F' looks like this
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So after all of the translations, we get the following
Now simply connect the points with segments. So draw a segment from A' to B', from B' to C', from C' to D', from D' to E', from E' to F', and finally from F' to A' to get the new polygon
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Now take note that the new point A' is 4 units from the left edge and 2 units from the top edge. Since the only figure that has the top left corner of the new figure that is 4 units from the left edge and 2 units from the top edge is the figure in choice B), this means that the answer is choice B)
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