2
QuizMultiple Choice
Graphing Cosecant and Secant Functions
Question 2 • SS26 Math 3 S2 [M3960OX]
The parent cosecant function is shifted 4 units right and 3 units up. Which of the following is the graph of the transformed function?
Answer
A
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 7 to 1 with an interval of 1 unit. A cosecant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals negative 2 at (9 by 5 pi comma negative 2) and (negative pi by 5 comma negative 2). The graph touches another line y equals negative 4 at (4 by 5 pi comma negative 4) and (negative 6 by 5 comma negative 4).
B
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 1 to 7 with an interval of 1 unit. A cosecant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 4 at (9 by 5 pi comma 4) and (negative pi by 5 comma 4). The graph touches another line y equals 2 at (4 by 5 pi comma 2) and (negative 6 by 5 pi comma 2).
C
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 2 to 6 with an interval of 1 unit. A cosecant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals 4 at (4 by 5 pi comma 4) and (negative 6 by 5 pi comma 4). The graph touches another line y equals 2 at (9 by 5 pi comma 2) and (negative 1 by 5 pi comma 2).
D
On a coordinate plane, the x axis ranges from negative 2 pi to 2 pi with an interval of pi units and the y axis ranges from negative 7 to 1 with an interval of 1 unit. A cosecant function with asymptotes at x equals plus or minus n pi is drawn. It touches the line y equals negative 2 at (4 by 5 pi comma negative 2) and (negative 6 by 5 pi comma negative 2). The graph touches another line y equals negative 4 at (9 by 5 pi comma negative 4) and (negative 1 by 5 pi comma negative 4).