Practice Test

Question 1

Which transformations are needed to change the parent sine function to the sine function shown in the graph?

Revolt · Accepted Answer

D: vertical compression of  1 half , horizontal stretch to a period of  4 pi ,  vertical shift of  1  unit up, phase shift of  pi  units left

Question 2

Which of the following is cotangent of theta secant of theta in simplified form?

Revolt · Accepted Answer

C: cosecant theta

Question 3

Which values for theta have the same reference angles?

Revolt · Accepted Answer

A: pi over 4 ,  3 pi over 4 ,  7 pi over 4

Question 4

What is the domain of the function y is equal to tangent of open paren x over 8 close paren ?

Revolt · Accepted Answer

D: all real numbers except  4 pi plus 8 n pi , where  n  is any integer

Question 5

Which of the following is true for f of x is equal to negative 2 sine x minus 3 ?

Revolt · Accepted Answer

C: The amplitude of the function is  2 .

Question 6

How long is the arc intersected by a central angle of pi over 3 radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3 point 1 4 for pi

Revolt · Accepted Answer

B: 7 point 0  ft

Question 7

Which formula gives the zeros of y is equal to sine of x ?

Revolt · Accepted Answer

B: k pi  for any integer  k

Question 8

Which of the following is the graph of y is equal to sine of open paren 4 times open paren x minus pi close paren close paren ?

Revolt · Accepted Answer

D: Image with description A coordinate plane. The graph starts and rises to (0 comma 1). It falls through (pi over 8 comma negative 1) to (pi over 4 comma negative 3). It then rises through (3 pi over 8 comma negative 1) to (pi over 2 comma 1). It then falls through (5 pi over 8 comma negative 1) to (3 pi over 4 comma negative 3). It then rises through (7 pi over 8 comma negative 1) to (pi comma 1). It then falls through (9 pi over 8 comma negative 1) to (5 pi over 4 comma negative 3). It then rises through (11 pi over 8 comma negative 1) to (3 pi over 2 comma 1). It then falls through (13 pi over 8 comma negative 1) to (7 pi over 4 comma negative 3). It then rises through (15 pi over 8 comma negative 1) to (2 pi comma 1).

Question 9

Melanie simplified the expression the fraction with numerator cotangent of x and denominator open paren 1 over secant of x close paren as shown. Step 1: the fraction with numerator open paren cosine of x over sine of x close paren and denominator cosine of x Step 2: cosine of x over sine of x times 1 over cosine of x Step 3: 1 over sine of x Step 4: tangent of x In which step did Melanie make the first error, and which expression should she have written in that step?

Revolt · Accepted Answer

B: step 4;  cosecant of x; C: step 1;  the fraction with numerator open paren cosine of x over sine of x close paren and denominator sine of x

Question 10

Which point does the graph of the parent function y is equal to tangent of x pass through?

Revolt · Accepted Answer

C: open paren the fraction with numerator square root of 3 and denominator 3 comma pi over 3 close paren

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