The graph of the function f (x) = - 1/x is centered at the origin as shown on the left below. The graph on the right is the same graph translated so that it is centered at (-2,2). Write the equation of the graph on the right.

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Mathematics

6 April, 04:20

The graph of the function f (x) = - 1/x is centered at the origin as shown on the left below. The graph on the right is the same graph translated so that it is centered at (-2,2). Write the equation of the graph on the right.

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Giles · Answer 1

To translate f (x) to (-2, 2) you replace x by x - (-2), and you replace f (x) by f (x) + 2.

Doing both these things, the equation becomes

... y = f (x+2) + 2

... y = - 1 / (x+2) + 2