Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x). f(x) = 4 cos x ; g(x) = cos x
select one:
a. vertical stretch by a factor of 4
b. horizontal stretch by a factor of 4
c. vertical shrink by a factor of 1/4
d. horizontal shrink by a factor of 1/4

Option a

Step-by-step explanation:

If the graph of the function  represents the transformations made to the graph of  then, by definition:

If   then the graph is compressed vertically by a factor c.

If   then the graph is stretched vertically by a factor c

If  then the graph is reflected on the x axis.

If the graph is stretched horizontally  by a factor

If the graph is compressed horizontally by a factor

In this problem we have the function and our parent function is

therefore it is true that     so and

Therefore the graph of is stretched vertically by a factor c = 4

The answer is "Vertical stretched by a factor of 4"

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: