What is the effect on the graph of the function f(x) = 2x when f(x) is changed to f(3x)?

A)
vertical stretching

B)
vertical compression

C)
horizontal compression

D)
horizontal stretching

Question

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Respuesta :

parmesanchilliwack parmesanchilliwack · Answer 1 · 2019-05-21T12:47:18+02:00

Answer:

C) Horizontal compression

Step-by-step explanation:

Since, if y = f(x) is a function,

Then y = a f(x) gives a vertical stretch if a > 1 and gives a vertical compression if 0 < a < 1.

Also, y = f(bx) gives a horizontal stretch when 0 < b < 1 and gives a horizontal compression if b > 1.

Here,

The given parent function is,

f(x) = 2x

And, 3 > 1

Thus, by the above statements,

f(3x) will give a horizontal compression.

Hence, Option C is correct.