Here is the graph of the function $y = \sin(2x + 30^\circ)$, showing the sinusoidal wave with a frequency and phase shift based on the equation.

Would you like more details or have any questions about this function?

Here are 5 related questions to deepen your understanding:

1. How does the factor of 2 in $\sin(2x)$ affect the frequency of the sine wave?
2. What role does the $+30^\circ$ (or phase shift) play in modifying the sine function?
3. Can you find the amplitude of the function $y = \sin(2x + 30^\circ)$?
4. How would the graph change if the equation were $y = \cos(2x + 30^\circ)$?
5. What are the x-intercepts of this function?

Tip: Phase shifts move the graph horizontally. Positive shifts move the graph left, while negative shifts move it right.