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

Question

Jaiden Payne

Mathematics

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

+5

Answers (2)

Know the Answer?

Marcelo Burton · Answer 1

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.

Dennis Good · Answer 2

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