A long jumper leaves the ground at an angle of 20 o above the horizontal at a speed of11 m/sec. The height of the jumper can be modeled by h x = − 0.046 x 2 + 0.364 x , where h is the jumper’s height in meters and x is the horizontal distance from the point of launch. a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. c. What is the length of the jump? Round to 1 decimal place.
A long jumper leaves the ground at an angle of 20 o above the horizontal at a speed of11 m/sec. The height of the jumper can be modeled by h x = − 0.046 x 2 + 0.364 x , where h is the jumper’s height in meters and x is the horizontal distance from the point of launch. a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places. b. What is the maximum height of the long jumper? Round to 2 decimal places. c. What is the length of the jump? Round to 1 decimal place.
Solution Summary: The author calculates the horizontal distance from the point of launch at which the maximum height of the jumper occurs using f(x)=-0.046x2+0.364x.
A long jumper leaves the ground at an angle of
20
o
above the horizontal at a speed of11 m/sec. The height of the jumper can be modeled by
h
x
=
−
0.046
x
2
+
0.364
x
,
where h is the jumper’s height in meters and x is the horizontal distance from the point of launch.
a. At what horizontal distance from the point of launch does the maximum height occur? Round to 2 decimal places.
b. What is the maximum height of the long jumper? Round to 2 decimal places.
c. What is the length of the jump? Round to 1 decimal place.
5+
4
3
2
1.
-B
-2
-1
1
4
5
-1
-2
-3
-4
-5
Complete an equation for the function graphed above
y =
60
फं
+
2
T
2
-2
-3
2
4 5 6
The graph above shows the function f(x). The graph below shows g(x).
फ
3
-1
-2
2
g(x) is a transformation of f(x) where g(x) = Af(Bx) where:
A =
B =
Let f(x) = 4√√
If g(x) is the graph of f(x) shifted up 6 units and right 3 units, write a formula for g(x)
g(x)=
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