What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)? a) vertical reflection over x-axis and vertical stretch b) vertical reflection over x-axis and vertical compression c) horizontal reflection over y-axis and horizontal stretch d) horizontal reflection over y-axis and horizontal compression

The correct option is B.

Step-by-step explanation:

The given function is

The new function is

       .... (1)

It is in the form of

                  .... (2)

Where, m is a constant.

If m is negative, then there is a vertical reflection over x-axis. If the constant is greater than 1, we get a vertical stretch and  if the constant is between 0 and 1, we get a vertical compression.

From (1) and (2), we get

Since the value of m is negative and absolute value of m is between 0 and 1, therefore the graph g(x) shows the vertical reflection over x-axis and vertical compression.

Option B is correct.

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pla·gia·rism

/ˈplājəˌrizəm/

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noun

the practice of taking someone else's work or ideas and passing them off as one's own.

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