QuestionFind the equation of the function when $y=\sin \theta$ is stretched by $\frac{3}{2}$, reflected in the $y$ axis, and shifted up 3 units.

Studdy Solution
Finally, we apply the vertical shift. This is done by adding the shift value to the function.
$$y=\sin \left(-\frac{2\theta}{3}\right) +3$$The resulting function after all transformations is $y=\sin \left(-\frac{2\theta}{3}\right) +3$.