Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function? reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis

f (x) = cos (x)

Step-by-step explanation:

we apply the following transformations:

reflections:

to graph y = - f (x), reflect the graph of y = f (x) on the x-axis.

we then have:

f (x) = cos (x)

the answer is 62.8 cubic units

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.