Question

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

Answer 1

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

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