If you vertically stretch the exponential function f(x)= 2^x by a factor of 4 what is the equation of the new function

Question

asked Jun 25, 2020 235k views

2 Answers

Kkjoe · Answer 1 · 2020-06-29T16:51:34+0000

ANSWER

$f(x) = 4( {2})^(x)$

EXPLANATION

Given the exponential function,

y = f(x)

Then the function

y =a f(x)

is stretched vertically by a factor of 'a' units, for a>0.

Based on this, if a=4 and

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

Then the equation of the new function is

$f(x) = 4( {2})^(x)$