Quadratics Day 7
Name:
1.
Date:
The graph below shows the path of a football that
was kicked during a game.
2.
Path of a Football
Doug makes a rectangular dog pen using
8 yards of fencing. The graph below shows the
relationship between the width of the pen and the
area of the pen.
What was the maximum height of the football
during the kick?
A.
3 yards
B.
6 yards
C.
30 yards
D. 35 yards
In the ordered pair (2; 4), what does the
y-coordinate represent?
A.
maximum area of the pen
B.
maximum width of the pen
C.
maximum length of the pen
D. maximum perimeter of the pen
3.
page 1
What is the area of a oor whose length is 4 feet
longer than its width?
A.
A = W2 + 4
B.
C.
A = W 2 + 4W
D. A = 5W 2
A = 2(2W + 4)
4.
Charlene wants to center a pool in her back yard.
The yard currently measures 50 m by 40 m. She
wants to use 12 of the yard. Which equation best
represents how to nd the width of the yard
surrounding the pool?
A.
4x2
180x + 1000 = 0
B.
2x2
90x + 1000 = 0
C.
2x2 + 90x + 1000 = 0
D. 4x2
5.
8.
180x + 2000 = 0
The gure shows the height, h, of a thrown ball
as a function of time. Height is measured in feet
and time is measured in seconds. How long will
it take for the ball to return to the ground?
A.
2.5 seconds
B.
3.5 seconds
C.
5.0 seconds
D. 35.0 seconds
Johanna is a crime scene investigator and tapes o
two squares at a crime scene. The rst square is
3 feet larger than the second, and the total area of
the two squares is modeled by the equation:
(y + 3)2 + y2 = 369
where y is the length in feet of the side of the
smaller square. What is y ?
6.
A.
6 feet
B.
C.
12 feet
D. 14 feet
The shortest side of a triangle has a length of 14.
The other sides have lengths x + 1 and x + 3. Find
the value of x that makes the triangle a right
triangle.
A.
7.
10 feet
196
B.
188
C.
47
D. 1
Josh hit a baseball straight up into the air. The
equation below describes the height of the ball
(h), in meters, as a function of time (t) in seconds.
h(t) = 9:8t2 + 30t + 1:5
What is the height of the ball after 3 seconds?
A.
3.3 meters
B.
62.1 meters
C.
120.9 meters
D. 179.7 meters
page 2
Quadratics Day 7
9.
A pendulum hangs from a clock and swings over
its base.
The distance between the pendulum and the base
of the clock, f (x), over the horizontal distance, x,
is modeled by the function shown.
f (x) = 0:25x2
2x + 10
What is the minimum distance between the
pendulum and the base of the clock?
10.
A.
5 inches
B.
6 inches
C.
10 inches
D. 20 inches
In the distance formula, rate varies inversely with
time. If rate is doubled, time is
A.
decreased by 2
B.
increased by 2
C.
halved
D. doubled
page 3
Quadratics Day 7