Consider the function $f(x) = 3 \text{sin}( x + \frac { \pi } { 2 } )-4$.

1. How is its graph different from the graph of $g(x)=\sin(x)$?

   Hint (a):

   Look at the function's equation. What parts are different from the equation for $g(x)=\sin(x)$?
   How is the graph shifted horizontally? Vertically? How is it stretched?

2. Sketch the graph of $y = f\left(x\right).$

   Hint (b):

   Begin by drawing an axis that reflects the vertical shift. In this case it is $y = −4$.

   Answer (b):