AnswersCA-Mathematics I B-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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The dimensions of a rectangle are represented by the functions shown.

Question illustration
A
6x2 – 8x + 36
B
6x2 – 27x + 36
C
6x2 – 35x + 36
D
6x2 + 35x + 36
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A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
43

A party planner is going to use an arch of balloons for a parade of recent graduates. The estimated curve the balloons will create is modeled by the function given in the table, where x represents the distance in feet along the ground from the start and f(x) represents the height in feet above the ground.

Question illustration
A
no, because the width of the arch is 8 feet
B
yes, because the width of the arch is 9.6 feet
C
no, because the maximum height of the arch is 8 feet
D
yes, because the maximum height of the arch is 9.6 feet
44

A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 12. Points and a line show an upward trend.

Question illustration
A
–0.872
B
–0.191
C
0.191
D
0.872
45

Point S lies between points R and T on .

Question illustration
A
2 centimeters
B
4 centimeters
C
6 centimeters
D
8 centimeters
46

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
47

The rule is applied to ΔBCD to produce ΔB"C"D". Point B" of the final image is at (–4, 1).

Question illustration
A
(–2, –5)
B
(0, –5)
C
(2, 3)
D
(5, 0)
48

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

Question illustration
A
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
Option A
B
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
Option B
C
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
Option C
D
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
Option D
49

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

Question illustration
A
SU + UT = RT
B
RT + TU = RS
C
RS + SU = RU
D
TU + US = RS
50

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.

A
Ava’s graph is a vertical translation of f(x) = x2.
B
Victor’s graph is a vertical translation of f(x) = x2.
C
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
D
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
E
Ava’s graph has a y-intercept of 4.

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