AnswersLAUSD-Pre-Calculus B PrescriptiveUnit Test

Unit Test — Cumulative exam Answers

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1
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Identify the graph of for and write an equation of the translated or rotated graph in general form.

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A
parabola;
B
ellipse;
C
parabola;
D
ellipse;
2
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Use a half-angle identity to find the exact value of tan 105°.a.c.b.d.

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A
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B
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C
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D
3

Identify the graph of the equation and find (h,k).

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A
ellipse, (-1,-1)
B
hyperbola, (-1,1)
C
hyperbola, (1,-1)
D
ellipse, (1,-1)
4

Find the polar equation of the conic with focus at the pole, directrix , and eccentricity of 2. a. c. b. d. Please select the best answer from the choices provided

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D
5

Use the half angle identity to determine .a.c.b.d.

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B
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C
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D
6

Write the parametric equation of the line: a.c.b.d.

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A
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B
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C
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D
7

Simplify the expression.a.c.b.d.

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C
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D
8

What basic trigonometric identity would you use to verify that cot x sin x = cos x?a.c.b.d.

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B
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C
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D
9

What is the basic trigonometric identity you would use to verify that ? a. c. b. d. Please select the best answer from the choices provided

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A
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B
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C
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D
10

Given and , find and

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,
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,
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,
D
,
11

Use matrices to determine the vertices of the reflected figure. Then graph the image and the pre-image on the same coordinate grid. with vertices , , and reflected over the y-axis.a.c.b.d.

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A
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B
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C
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D
12

Determine the eccentricity, the type of conic, and the directrix for

Question illustration
A
eccentricity: e = 1 parabola directrix: x = 2
B
eccentricity: e = 6 hyberbola directrix: x = 2
C
eccentricity: e = 2 hyperbola directrix: x = 3
D
eccentricity: e =2 ellipse directrix: x= 3
13

Find the equation of the hyperbola centered at the origin that satisfies the given conditions:, asymptote x.a.c.b.d.

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A
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B
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C
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D
14

Write parametric equations of the line .a.c.b.d.

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A
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B
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C
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D
15

Find the exact value of .a.c.b.d.

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C
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D
16

Which is the graph of ?a.c.b.d.

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A
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B
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C
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D
17

Determine two pairs of polar coordinates for (-3,0) when .

Question illustration
A
(3,180°), (-3,0°)
B
(3,270°), (-3,90°)
C
(3,0°), (-3,180°)
D
(3,90°), (-3,270°)
18

A hyperbola in the form has a center, vertices, and foci that fall along a horizontal line.

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A
T
B
F
19

Convert the rectangular coordinates (11,-4) to polar coordinates.

A
(11.7, -20)
B
(11.7, 70)
C
(10.2, -20)
D
(10.2, 70)
20

Express the complex number 6 in complex trigonometric form.

Question illustration
A
6(cos 270 + i sin 270)
B
6(cos 180 + i sin 180)
C
6(cos 0 + i sin 0)
D
6(cos 90 + i sin 90)

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