Changes in Period and Phase Shift of Sine and Cosine Functions — Quiz
Question 2 • Advanced Algebra: Concepts and Connections
Which of the following is the graph of y is equal to sine of 0 point 5 x ?
Answer
A
Image with description A coordinate plane. The graph starts and rises through (negative 8 pi comma 0) to (negative 6 pi comma 1). It then falls through (negative 4 pi comma 0) to (negative 2 pi comma negative 1). It then rises through (0 comma 0) to (2 pi comma 1). It then falls through (4 pi comma 0) to (6 pi comma negative 1). It then rises through (8 pi comma 0).
B
Image with description A coordinate plane. The graph starts and falls through (negtiave pi comma 2) to (negative 3 pi over 4 comma negative 1). It rises through (negtiave pi over 2 comma 2) to (negative pi over 4 comma 5). It then falls through (0 comma 2) to (pi over 4 comma negative 1). It then rises through (pi comma 2) to (3 pi over 4 comma 5).
C
Image with description A coordinate plane. The graph starts and rises to (negative pi comma negative 1.5). It then falls through (negative 7 pi over 8 comma negative 2) to (negative 3 pi over 4 comma negative 2.5). It then rises through (negative 5 pi over 8 comma negative 2) to (negative pi over 2 comma negative 1.5). It then falls through (negative 3 pi over 8 comma negative 2) to (negative pi over 4 comma negative 2.5). It then rises through (negative pi over 8 comma negative 2) to (0 comma negative 1.5). It then falls through (pi over 8 comma negative 2) to (negative pi over 4 comma negative 2.5). It then rises through (3 pi over 8 comma negative 2) to (pi over 2 comma negative 1.5). It then falls through (5 pi over 8 comma negative 2) to (3 pi over 4 comma negative 2.5). It then rises through (7 pi over 8 comma negative 2) to (pi comma negative 1.5).
D
Image with description A coordinate plane. The graph starts and rises to (negative 360 comma 1). It starts to fall through (negative 270 comma 0) to (negative 180 comma negative 1). It then rises through (negative 90 comma 0) to (0 comma 1). It then falls through (90 comma 0) to (180 comma negative 1). It then rises through (270 comma 0) to (360 comma 1).