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"

0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

hope this , good luck!

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.