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 Use the function found in step 5 to approximate the height of the ball after 1.8 sec. How well does this value match the observed value of 12 ft?
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 Use the function found in step 5 to approximate the height of the ball after 1.8 sec. How well does this value match the observed value of 12 ft?
Solution Summary: The author calculates the height of the ball using the equation y=-17(t-1)2+22 and compared this value with the observed value 12ft
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
Use the function found in step 5 to approximate the height of the ball after 1.8 sec. How well does this value match the observed value of 12 ft?
dent Application X GA spinner is divided into five cox | +
9/26583471/4081d162951bfdf39e254aa2151384b7
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow,
and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red
5
Blue
11
Green
18
Yellow
5
Purple
7
Based on these results, express the probability that the next spin will land on purple as a
fraction in simplest form.
Answer Attempt 1 out of 2
Submit Answer
0
Feb 12
10:11 O
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