This graph of a function is a translation of y =4/x.
Here is the graph of y =
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y =
This one replaces x by x+2 which shifts it
left 2 units and adds 6 on the right side, so it also shifts it
6 units up, so it's like this green graph:
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y =
This one replaces x by x+2 which shifts it
left 2 units and adds -6 on the right side, so it also shifts it
6 units down, so it's like this green graph:
-----------------------------------------
y =
This one replaces x by x+6 which shifts it
left 6 units and adds 2 on the right side, so it also shifts it
2 units up, so it's like this green graph:
-----------------------------------------
y =
This one replaces x by x+6 which shifts it
left 6 units and adds -2 on the right side, so it also shifts it
2 units down, so it's like this green graph:
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Edwin