Worksheet #2
Using the calculator to solve.
Name____________________
Part I. For each of the following, use the calculator to find the vertex, max/min, intervals that
are increasing/decreasing as well as the zeros.
1. y  x 2  8 x  1
2. y  4 x 2  5 x  9
3. y  3 x 2  5 x  9
Vertex: ______
Vertex: _______
Vertex: ______
Max/min= _____
Max/min= ______
Max/min= _____
Inc: ________
Inc: __________
Inc: _________
Dec: ________
Dec: __________
Dec: _________
Zeros: _______
Zeros: ________
Zeros: ________
Part II. Solve the following using the calculator.
4.
Wendy is diving from a 10-meter platform. Her height h is meters above the water
when she is x meters away from the platform is given by the formula h = -x2 + 2x + 10.
Approximately how far away from the platform is she when she enters the water.
5. The height h in feet of a ball t seconds after being tossed upward is given by the
formula h = 84t-16t2.
a. After how many seconds will the ball reach a height of 80 feet for the second
time?
b. After how many seconds will it hit the ground?
c. What is its maximum height?
6.
The height h, in feet, that a certain arrow will reach t seconds after being shot
directly upward is given by the formula h = 112t-16t2. What is the maximum height
for the arrows?
7. The function s(x) = -16x2 + 64x + h0 represents the height of a flare at any time x and
ho represents the initial height. If a flare is launched from the top of a 200-ft
building, what is the maximum height of the flare. How long does it take for the flare
to reach its maximum height? How long does it take for the flare to hit the ground?
8. Ted is tossing rocks off the edge of a 10-meter high cliff. He throws one rock with
an initial upward velocity of 15 meters per second. Use the formula
h  4.9t 2  vot  ho to answer the following.
a. When will the rock reach a height of 25 meters above the ground?
b. When will the rock return to the height from which it was thrown?
c. When will the rock hit the ground?
9. The height h, in feet, of a rocket t seconds after blast-off if given by the formula
h  16t 2  2320t  125 .
a. Approximatley how long after blast-off will this rocket reach a height of 84,
225 ft.
b. What is the maximum height of the rocket?
Worksheet #2
Name_____
Using the calculator to solve.
Key_____
Part I. For each of the following, use the calculator to find the vertex, max/min, intervals that
are increasing/decreasing as well as the zeros.
1. y  x 2  8 x  1
2. y  4 x 2  5 x  9
3. y  3 x 2  5 x  9
Vertex: (-4, -17)
Vertex: (-0.62, 10.5)
Vertex: (0.83,-11.08)
Max/min= -17
Max/min= 10.5
Max/min= -11.08
Inc: (-4, ∞)
Inc: (-∞, -0.62)
Inc: (0.83, ∞)
Dec: (-∞, -4)
Dec: (-0.62, ∞)
Dec: (-∞, 0.83)
Zeros: -8.12, 0.12
Zeros: -2.25, 1
Zeros: -1.08, 2.75
Part II. Solve the following using the calculator.
4. Wendy is diving from a 10-meter platform. Her height h is meters above the water when she
is x meters away from the platform is given by the formula h = -x2 + 2x + 10. Approximately how
far away from the platform is she when she enters the water.
4.32 meters
5. The height h in feet of a ball t seconds after being tossed upward is given by the formula
h = 84t-16t2.
a. After how many seconds will the ball reach a height of 80 feet for the second
time? 4 seconds
b. After how many seconds will it hit the ground?
5.25 seconds
c. What is its maximum height? 110.25 feet
6. The height h, in feet, that a certain arrow will reach t seconds after being shot directly
upward is given by the formula h = 112t-16t2. What is the maximum height for the
arrows? 196 feet
7. The function s(x) = -16x2 + 64x + h0 represents the height of a flare at any time x and
ho represents the initial height. If a flare is launched from the top of a 200-ft
building, what is the maximum height of the flare. How long does it take for the flare
to reach its maximum height? How long does it take for the flare to hit the ground?
Max ht = 264 feet Reaches Max ht in 2 seconds,
reaches the ground in 6.06 sec
8. Ted is tossing rocks off the edge of a 10-meter high cliff. He throws one rock with
an initial upward velocity of 15 meters per second. Use the formula
h  4.9t 2  vot  ho to answer the following.
a. When will the rock reach a height of 25 meters above the ground?
never
b. When will the rock return to the height from which it was thrown? After
3.06 seconds
c. When will the rock hit the ground? After 3.62 seconds
9. The height h, in feet, of a rocket t seconds after blast-off if given by the formula
h  16t 2  2320t  125 .
a. Approximatley how long after blast-off will this rocket reach a height of
84,225 ft. 72.5 seconds
b. What is the maximum height of the rocket? 84,225 feet