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 Substitute the values of h and k into the formula y = a ( t − h ) 2 + k , and write the equation here. y = a ( t − _ _ _ _ _ _ _ _ _ _ _ _ _ ) 2 + ?____________________
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 Substitute the values of h and k into the formula y = a ( t − h ) 2 + k , and write the equation here. y = a ( t − _ _ _ _ _ _ _ _ _ _ _ _ _ ) 2 + ?____________________
Solution Summary: The author calculates the equation by substituting the values of h, and k into the formula y=a(t-1)2+22.
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
Substitute the values of h and k into the formula
y
=
a
(
t
−
h
)
2
+
k
, and write the equation here.
y
=
a
(
t
−
_
_
_
_
_
_
_
_
_
_
_
_
_
)
2
+
?____________________
Solve questions by Course Name (Ordinary Differential Equations II 2)
please Solve questions by Course Name( Ordinary Differential Equations II 2)
InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth.
Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth
from which the flash is visible? (Earth’s radius is approximately 4000 miles.)
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