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The function y = 1/x shifted 1 unit down and 1 unit right is given by
  • a)
    y – 1 = 1/ (x + 1)
  • b)
    y – 1 = 1/(x – 1)
  • c)
    y + 1 = 1/(x – 1)
  • d)
    y + 1 = 1/(x + 1)
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The function y = 1/x shifted 1 unit down and 1 unit right is given bya...
Looking at the options, one unit right means x is replaced by (x – 1). Also, 1 unit down means –1
on the RHS.
Thus, (y + 1) = 1/(x – 1)
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Most Upvoted Answer
The function y = 1/x shifted 1 unit down and 1 unit right is given bya...
Explanation:

To shift the graph of the function y = 1/x, we need to apply two transformations: one unit down and one unit right.

Shifting Down:

To shift the graph down by one unit, we subtract 1 from the original function. This can be represented as y - 1.

Shifting Right:

To shift the graph right by one unit, we replace x with (x - 1). This is because for every x value in the original function, we want to consider the value of x - 1 in the shifted function.

Therefore, the transformed function can be represented as:
y - 1 = 1 / (x - 1)

Answer:

The correct answer is option 'C' which represents the transformed function as:
y - 1 = 1 / (x - 1)
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The function y = 1/x shifted 1 unit down and 1 unit right is given bya)y – 1 = 1/ (x + 1)b)y – 1 = 1/(x – 1)c)y + 1 = 1/(x – 1)d)y + 1 = 1/(x + 1)Correct answer is option 'C'. Can you explain this answer?
Question Description
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