Which function represents a vertical stretch of an

exponential function?

y= 2x

y=3•2^x

y= 2^3x

SECOND OPTION.

Step-by-step explanation:

Below are shown some transformations for a function f(x):

If and , then the function is stretched vertically by a factor of .

If and , then the function is compressed vertically by a factor of .

By definition Exponential function have the following form:

Where

Based on the explained above, you can conclude that the function is an exponential function and it is stretched vertically by a factor of 3 ().

The population of bacteria can be expressed as a function of number of days.

Population = where n is the number of days since the beginning.

Step-by-step explanation:

Number of bacteria on the first day=

Number of bacteria on the second day =

Number of bacteria on the third day =

Number of bacteria on the fourth day =

As we can see , the number of bacteria on any given day is a function of the number of days n.

This expression can be expressed generally as where n is the number of days since the beginning.