Answer:

Step-by-step explanation:
Since both the original and transformed graph have the same x value for their vertex, there was no horizontal shift. However the vertex shifted up. Specifically it shifted up 5 units. Therefore:

The plus 5 performs a translation up 5 units. Plugging in for f(x) it can be seen that:

Answer:
Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small
numbers of possible outcomes are the same.
Answer:
After 4s
Step-by-step explanation:
Given the ball is initially projected upwards with a velocity of 64ft per sec and we are required to find the time at which it reaches the ground .There are many approaches to solve this problem we will follow this one:
It is also known as the time of flight for the ball which can be found by doubling the time taken for the ball to reach to its maximum height or the point where velocity is zero.
Now 
For the time taken to reach the max height
.
Which implies that -32t+v=0.
∴Time taken to travel halfway through the path =2sec.
∴total time =
The volume of a rectangular pyramid is
V = (1/3) A*h
where
A = the area of the rectangular base
h = the height
The two pyramids are congruent in volume.
The volume of one pyramid is
(1/3)*(2*7.5)*(6) = 11
The volume of the composite figure is 2*11 = 22
Answer: 22