Write the equation of a sine function that has the given characteristics.
-Amplitude: 5
Period: $\pi$
Phase Shift: $- 3$
A) $y = 5 \sin ( x - 3 )$
B) $y = \sin ( 5 x + 3 )$
C) $y = 5 \sin ( 2 x + 6 )$
D) $y = 5 \sin \left( \frac { 1 } { 2 } x - 6 \right)$

Question

Quizplus · Accepted Answer

The amplitude is 5, the period is $\pi$ which means the coefficient of $x$ is 2, and the phase shift is $-3$ which corresponds to $x + 6$ in the equation.

Write the Equation of a Sine Function That Has the Given