the equation of the graph is the form y=a sin x. what is the amplitude of the sine curve? what is the value of a?
A)amplitude =-2; a= -2
B)amplitude =4; a=2
C)amplitude =2; a=2
D)amplitude =2; a=-2
The amplitude of the sine curve is the absolute value of the coefficient 'a'. Since the equation is y=a sin x, the amplitude is |a|. Therefore, the amplitude is a positive value.
Looking at the provided answer choices:
A) a = -2 implies that the amplitude is |-2| = 2, which is a positive value.
B) a = 2 implies that the amplitude is |2| = 2, which is a positive value.
C) a = 2 implies that the amplitude is |2| = 2, which is a positive value.
D) a = -2 implies that the amplitude is |-2| = 2, which is a positive value.
So, the correct answer is:
C) amplitude = 2; a = 2.