Question Type 1: From graphs of trigonometric functions, finding the amplitude and period of the trigonometric curves Bootcamps

The graph of $y=g(x)$ oscillates between $-2$ and $2$, completing three full cycles over the interval $[0,6\pi]$. Find the amplitude and period.

A cosine curve has amplitude 3 and period $\pi$. Write down these values.

The graph of $y=k(x)$ oscillates between $-7$ and $1$, and one cycle spans $8$ units on the $x$-axis. What are the amplitude and period?

From a graph, you observe that a sine curve has consecutive peaks at $x=1$ and $x=4$. The maximum value is $6$ and the minimum is $2$. Determine the amplitude and period.

The function $y=h(x)$ has equation $y=4\sin\bigl(5x\bigr)$. Without graphing, state its amplitude and period.

From a plotted cosine graph, you see it peaks at $y=10$ and troughs at $y=4$; the next peak occurs $5$ units later in $x$. Find amplitude and period.

A sine wave has its first minimum at $x=2$ and its next minimum at $x=8$. The vertical range of the graph is $12$. Determine the amplitude and period.

A cosine curve passes through $(0, -3)$, reaches a maximum of $3$ at $x=\frac{\pi}{2}$, then next returns to $-3$ at $x=\pi$. Find the amplitude and period.

A sine curve reaches its maximum of 5 at $x=\frac{\pi}{6}$ and its next minimum of $-5$ at $x=\frac{5\pi}{6}$. Determine the amplitude and period of this curve.

The graph of $y=m(x)$ shows three complete oscillations between $x=-\pi$ and $x=2\pi$. The maximum is $4$ and the minimum is $0$. Determine the amplitude and period.