If you horizontally compress the exponential function f(x) = 2x by a factor of 3, which of these is the equation of the new func

Question

3 years ago

7

tion???????
A. f(x) = 6x
B. f(x) = 2(3x)
C. f(x) = 5x
D. f(x) = 3(2x)

2 answers:

snow_lady [41] · Answer 1 · 2022-08-03T11:19:20+03:00

<h2>Answer:</h2>

Option: B is the correct answer.

The equation of the new function is:

B. f(x) = 2^{3x}

<h2>Step-by-step explanation:</h2>

For a given function f(x) the transformed function:

g(x)=f(bx) gives a horizontal compression or stretch depending on b

if b>1 then the graph is compressed.

and if 0 < b <1 then the graph is stretched.

We are given a parent function f(x) as:

$f(x)=2^x$

Here we have b=3

Hence, the equation of the new function will be:

$f(3x)=f(x)=2^{3x}$

Hence, the correct answer is : Option: B

Blababa [14] · Answer 2 · 2022-08-03T09:57:56+03:00

Blababa [14]3 years ago

4 0

Your answer would be A.