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24 April, 03:49

What is the effect on the graph of the function f (x) = x when f (x) is replaced with f (-3x) ?

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

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Answers (2)
  1. 24 April, 04:11
    0
    D) horizontal reflection over y-axis and horizontal compression

    Step-by-step explanation:

    Replacing x with - x will reflect a graph across the y-axis.

    Multiplying x by 3 before the function is applied will compress the graph horizontally.

    This means the correct choice is D.
  2. 24 April, 04:12
    0
    D

    horizontal reflection over y-axis and horizontal compression

    This is because plugging in 10 for x becomes

    the - negative indicates the x has changed signs (flipped)

    the 3 indicates that there will be a shrink

    these shifts are learned by observing graph changes or memorization
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