When b= 0.5, the period of orange graph is _ pi

when b= 2, the period of orange graph is _ pi

When b= 0.5, the period of orange graph is _4_ pi

When b= 2, the period of orange graph is _1_pi

Step-by-step explanation:

The period of the sinusoidal functions can be easily calculated by observing their graphs.

First, look at the orange graph when b = 0.5

Identify a point where the orange chart cuts the x-axis. For example at . After completing the rise and fall cycle, the function cuts back to the x axis at .

Then the period .

Second, look at the orange graph when b = 2

Identify a point where the orange chart cuts the x-axis. For example at . After completing the rise and fall cycle, the function cuts back to the x-axis at .

Then the period .

We also know that the period of a sinusoidal function is defined as

So:

correct choice is a

step-by-step explanation:

the equation of the line passing through the points and is

thus, the equation of the line that passes through the points (0, -6) and (-3, 0) is