How do you write the equation of a sin function: amplitude=6 period=pi phase shift= 0 vert. shift= -3/2?

1 Answer
Jun 26, 2018

Answer:

#color(blue)("Hence the equation is " y = 6 sin (2 x ) - 3/2#

Explanation:

#"Standard form of a sine function is " y = A sin (Bx - C) + D#

#Amplitude = |A| = 6#

#"Period " = (2pi) / |B| = pi, |B| = (2pi) / pi = 2#

#"Phase Shift " = -C / B = 0 " or ' C = 0#

#"Vertical Shift " = d = -3/2#

#color(blue)("Hence the equation is " y = 6 sin (2 x ) - 3/2#

graph{6 sin (2x) - 3/2 [-10, 10, -5, 5]}