Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size: 3 In an earlier group activity, we modeled the path of a softball that was thrown from right field to third base. The data points are given in the table. The values of t represent the time in seconds after the ball was released, and y represents the height of the ball in feet. T i m e ( s e c ) t 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 H e i g h t ( f t ) y 5 11 16 19 21 22 21 19 16 12 6 Select a point that you think best represents the vertex of the parabola. Label this point ( h , k ) . ( h , k ) = ?__________________________
Creating a Quadratic Model of the Form y = a ( x − h ) 2 + k Estimated time: 20 minutes Group Size: 3 In an earlier group activity, we modeled the path of a softball that was thrown from right field to third base. The data points are given in the table. The values of t represent the time in seconds after the ball was released, and y represents the height of the ball in feet. T i m e ( s e c ) t 0 0.2 0.4 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 H e i g h t ( f t ) y 5 11 16 19 21 22 21 19 16 12 6 Select a point that you think best represents the vertex of the parabola. Label this point ( h , k ) . ( h , k ) = ?__________________________
Solution Summary: The author explains that the point which best represents the vertex of the parabola and label it as (h,k)=.
Creating a Quadratic Model of the Form
y
=
a
(
x
−
h
)
2
+
k
Estimated time: 20 minutes
Group Size: 3
In an earlier group activity, we modeled the path of a softball that was thrown from right field to third base. The data points are given in the table. The values of t represent the time in seconds after the ball was released, and y represents the height of the ball in feet.
T
i
m
e
(
s
e
c
)
t
0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
1.8
2.0
H
e
i
g
h
t
(
f
t
)
y
5
11
16
19
21
22
21
19
16
12
6
Select a point that you think best represents the vertex of the parabola. Label this point
(
h
,
k
)
.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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