AnswersPrecalculusModeling with Trigonometric Expressions and Functions: Part Two

Modeling with Trigonometric Expressions and Functions: Part Two — Test Answers

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21
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Suppose you want to transform the graph of the function y is equal to tangent of open paren x plus pi over 4 close paren into the graph of the function y is equal to negative tangent times open paren x plus pi over 2 close paren Which transformations should you perform?

A
Reflect the graph of the first function across the line y is equal to negative 1 , translate it pi over 4 units to the left, and translate it 2 units up.
B
Reflect the graph of the first function across the line y is equal to negative 1 , translate it pi over 4 units to the right, and translate it 2 units up.
C
Reflect the graph of the first function across the x -axis, translate it pi over 4 units to the left, and translate it 2 units up.
D
Reflect the graph of the first function across the x -axis, translate it pi over 4 units to the right, and translate it 2 units up.
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What is the equation of the given graph?

A
y is equal to secant of open paren x plus 4 close paren minus 4
B
y is equal to secant of x minus 4
C
y is equal to secant of open paren x plus 4 close paren plus 4
D
y is equal to secant of open paren x minus 4 close paren
23

What is the equation of the graph?

A
y is equal to cosine of open paren x plus pi over 3 close paren
B
y is equal to cosine of open paren x plus pi over 2 close paren
C
y is equal to cosine of open paren x plus 2 pi close paren
D
y is equal to cosine of open paren x plus pi close paren
24

Which of the following is the equation of the function shown in the graph?

A
y is equal to 2 cosecant open bracket 0 point 5 times open paren x plus pi over 2 close paren close bracket minus 1
B
y is equal to 0 point 5 cosecant open bracket 0 point 5 times open paren x plus pi over 2 close paren close bracket minus 1
C
y is equal to 2 cosecant open bracket 2 times open paren x plus pi over 4 close paren close bracket minus 1
D
y is equal to 0 point 5 cosecant open bracket 2 times open paren x plus pi over 4 close paren close bracket minus 1
25

Keisha and David each found the same value for cosine theta , as shown, given sine theta is equal to negative 8 over 17 Whose procedure is correct?

A
Keisha’s procedure is correct.
B
David’s procedure is correct.
C
Both procedures are correct.
D
Neither procedure is correct.

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Modeling with Trigonometric Expressions and…