Here is the graph of $f(x) = 4 \sin(4x) - 1$. The key features highlighted are:

• The midline $y = -1$ (red dashed line).
• The amplitude limits (green dotted lines), which show the maximum $y = 3$ and minimum $y = -5$ values.
• The y-intercept at $(0, -1)$ (black vertical line).

The graph oscillates between the values $3$ and $-5$, with a period of $\frac{\pi}{2}$.

Do you have any questions or need further details?

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Here are 5 related questions for further practice:

1. What is the phase shift of $f(x) = 4 \sin(4x) - 1$?
2. How does the graph of $f(x) = \sin(x)$ differ from $f(x) = 4 \sin(4x) - 1$?
3. How would you modify the function to shift it up by 3 units?
4. What would the period be if the coefficient inside the sine function were $6x$?
5. How do we find the maximum and minimum values of a trigonometric function?

Tip: The period of a trigonometric function tells you how frequently the sine wave repeats. It is inversely related to the coefficient of $x$.