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WorksheetsQuadratic Applications
Total questions: 18
Worksheet time: 1hrs 3mins
Name
Class
Date
1.
A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x2 + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. How high does the water go?
a)
It goes 11.78 feet high
b)
It goes 20 feet high
c)
It goes 40 feet high
d)
It goes 10 feet high
2.
A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
3.
What is the initial (starting) height of an object following this path? h(t) = -16t2 +20t + 6
a)
-16 feet
b)
0 feet
c)
20 feet
d)
6 feet
4.
If the graph shows price vs profit, what is the maximum profit?
a)
35
b)
12,000
c)
12,500
d)
60
5.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
6.
A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?
a)
0.1 seconds
b)
0.25 seconds
c)
0.50 seconds
d)
0.75 seconds
e)
1 second
7.
What is the vertex for
f(x)=4(x-2)2 + 3
f(x)=4(x-2)2 + 3
a)
(-2, 3)
b)
(2,-3)
c)
(4,3)
d)
(2,3)
8.
What is the vertex?
a)
(-1,-2)
b)
(-2,-1)
c)
(-3,-1)
d)
(2,1)
9.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
10.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry
d)
Vertex Form
11.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 +128t
When will the object reach its maximum height?
h(t) = -16t2 +128t
When will the object reach its maximum height?
a)
4 ft
b)
0 seconds
c)
0 ft
d)
4 seconds
12.
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
a)
2 ft
b)
80 ft
c)
144 ft
d)
64 ft
13.
When I want to find the maximum or minimum height of an object, I should_____.
a)
Set the equation = 0 and solve.
b)
Use x = (-b/2a) as my answer.
c)
Substitute x = 0 into the equation.
d)
Find the y-coordinate for the vertex.
14.
The area of a certain rhombus is given by the equation L2 - 5L = 6 where l represents the length of the rhombus in centimeters. What is the length of the rhombus?
a)
6 cm
b)
-6 cm
c)
1 cm
d)
-1 cm
15.
If the rocket was at a height of 5 feet at 1 seconds, at what other time was the rocket at a height of 5 feet?
a)
It was never at 5 feet again.
b)
6 seconds
c)
5 sconds
d)
3 seconds
16.
What is an equation for the area of a rectangle?
a)
A = mx+b
b)
A = L*W
c)
A = 2W + 2L
d)
A=ax2+bx+c
17.
The area of a playground is 336 yd2 . The width of the playground is 5 yd longer than its length. Find the length and width of the playground
a)
length = 26 yd, width = 21 yd
b)
length = 21 yd, width = 26 yd
c)
length = 21 yd, width = 16 yd
d)
length = 16 yd, width = 21 yd
18.
A rectangle has an area of 24 square units. The width is 5 units less than the length. What is the length, in units, of the rectangle?
a)
6
b)
8
c)
3
d)
19
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