What is the effect on the graph of the function f(x) = x when f(x) is replaced with f(−3x)?
2 answers:
Answer:
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.
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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