A ball is thrown off a low cliff to the beach below. It is thrown into the air with an initial upward velocity of 5 meters per second. The following graph models its height above sea level in meters over time in seconds.

Question

A ball is thrown off a low cliff to the beach below. It is thrown into the air with an initial upward velocity of 5 meters per second. The following graph models its height above sea level in meters over time in seconds.

Which function would be the most appropriate model for the graph?

(1 point)
Responses

linear function
linear function

quadratic function
quadratic function

exponential function
exponential function
Question 2
Use the graph to create a table containing at least three points that you can determine exactly from the graph.(6 points)

Drop target 1
Drop target 2
Drop target 3
Drop target 4
Drop target 5
Drop target 6
00.511.522.533.546810
Question 3
Use your table to create an equation that models this graph and scenario. Fill in the blanks with the corresponding blanks.(1 point)
f(x)=
𝑓
(
𝑥
)
=

Question 4
Interpret the meaning of the y-intercept of this graph in terms of the given context.(2 points)
The low cliff that the ball is thrown off of is blank
meters blank the beach

Answer 1

Question 2:

From the graph, we can determine the following points:
1. (0, 8)
2. (1, 6)
3. (2, 4)

Question 3:

Using the points (0, 8), (1, 6), and (2, 4) in the form y = ax^2 + bx + c, we can create the equation:
f(x) = -2x^2 + 4x + 8

Question 4:

The y-intercept of the graph is (0, 8), which means that when x = 0 (at the starting point), the height above sea level is 8 meters. This means that the low cliff that the ball is thrown off is 8 meters above the beach.