4. Graphing Trigonometric Functions

For the topic of graphs of the sine and cosine functions, what is the axis of symmetry for the graph of $y=\left|x\right|$?

Given the graphs of $y=\sin \left(x\right)$ and $y=\cos \left(x\right)$, which of the following points lies on the y-axis and is also on the line that passes through the point $(0,1)$ and is parallel to the line passing through points $(0,0)$ and $(\pi ,0)$?

The Period for the function $y=\(\cos\)\(\left\)(bx\(\right\))$ is $T=20\(\pi\)$. Determine the correct value of b.

Graph the function $y=-3\(\cdot\[\cos\]\left\)(x\(\right\))$.

Sketch the function $y=\(\cos\)\(\left\)(x\(\right\))-1$ on the graph below.

Given below is the graph of the function $y=\(\sin\)\(\left\)(bx\(\right\))$. Determine the correct value for b.

Determine the value of $y=\(\sin\[\left\)(-\(\frac{\pi}{2}\]\right\))+50$ without using a calculator or the unit circle.

Determine the value of $y=-2\(\cdot\)\(\sin\[\left\)(-\(\frac{3\pi}{2}\]\right\))+10$ without using a calculator or the unit circle.