Math 1
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UNIT TEST – Quadratics
1).
The function h(t) = 200 – 16t2 represents the
height of a ball dropped from 200 feet. How far
had the ball traveled after falling for 11
seconds?
A. 16 feet
C. 176 feet
2).
For what value of x does g(x) = 14 for the
function g(x) = 3x2 + 2?
B. 24 feet
D. 200 feet
F.IF.2
F.IF.2
3).
A rocket is launched with an initial upward
velocity of 320 feet per second from an initial
height of 15 feet.
The function h(t) = -16t2 + 320t + 15 models the
height of the rocket, in feet, t seconds after it
was launched.
For how many seconds is the height of the
rocket greater than or equal to 1,039 feet?
F.IF.4
4).
The graph below shows the relationship
between the height of a ball (in meters), y,
thrown into the air and the time (in seconds), x.
Which statement best describes the height of
the ball?
A. The maximum height is 2 meters.
B. The maximum height is 4 meters.
C. The height is increasing for 2 seconds.
D. The height is increasing for 4 seconds.
F.IF.4
5).
Which domain is appropriate for the function
graphed below?
A. all positive integers
B. all real numbers
C. all integers less than or
equal to 1
D. all rational numbers less
than or equal to 1
F.IF. 5
6).
1
The function f(x) = x2 models the profit for an
2
event attended by x people in a room that has
a maximum occupancy of 10 people. What is
an appropriate domain for this function?
a. {1, 2, 3, 4, 5, 6, 7, 8, 9}
b. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
c. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
d. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
F.IF.5
7).
Which is an equation of the function graphed
below?
8).
Jenna compared
the minimum of the
function,
f(x) = x2 + 2x + 4 to
the minimum of the
function graphed
below.
What is the difference between the minimum
values of the two functions?
A. y = -x2 + 8x + 15
C. y = x2 + 8x – 15
B. y = -x2 + 8x – 15
D. y = x2 + 8x + 15
F.IF.7
9).
Two rockets were launched from a rooftop. The
heights of the rockets x seconds after being
launched are modeled by the functions shown
below.
Rocket F: f(x) = -4x2 + 29x + 24
Rocket G: g(x) = -5x2 + 26x + 24
Which statement is true?
A. Rocket F hit the ground 2 seconds after
Rocket G.
B. Rocket F hit the ground 2 seconds before
Rocket G.
C. Rocket F hit the ground 3 seconds after
Rocket G.
D. Rocket F hit the ground 3 seconds before
Rocket G.
F.IF.9
10).
Patrick compared the function f(x) = x2 – 6x + 9
to the quadratic function that fits the values
shown in the table below.
x
g(x)
1
-5
2
-8
3
-9
4
-8
5
-5
Which statement is true about the two
functions?
A. f(x) has the smallest minimum value.
B. g(x) has the largest y-intercept.
C. f(x) has the largest root.
D. g(x) has the largest x-intercept.
F.IF.9
F.IF.8a
11).
The function h(t) = -16t2 + 16t + 32 models the
height of a ball t seconds after it was thrown into
the air.
How long does it take for the ball to hit the
ground?
12).
Which function has a vertex at (0, -4)?
F.IF.8a
F.IF.7
A. y = x2 – 4x
B. y = x2 + 4x
C. y = x2 – 4
D. y = x2 + 4
6
0
13).
A ball is dropped out of a window of a building.
The ball’s height in feet can be represented by
the function h(t) = -16t2 + 48, where t is the time
in seconds. If the height at which the ball is
dropped is increased by 20 feet, what is the
resulting function?
A. h(t) = 4t2 + 48
B. h(t) = -16t2 + 68
C. h(t) = -36t2 + 48
D. h(t) = -16t2 + 20t + 48
14).
A rectangular room’s length is three more than
four times its width, w. An adjoining room has an
area of 144 ft2 . Which function, f(w), represents
the total area of the two rooms?
A. f(w) = 4w + 147
B. f(w) = 7w + 144
C. f(w) = 4w2 + 3w + 12
D. f(w) = 4w2 + 3w + 144
F.BF.1
F.BF.1