What is the amplitude and period of the following function? where does this function hit the x-axis?

Hello!

Amplitude is the maximum displacement on the graph of a function.

Period is the displacement of x at which the graph of a function begins to repeat.

We can find the period of a circular function by using the formula: .

The amplitude is 6 because it causes the displacement of the graph to change. Therefore, the domain becomes -6 ≥ x ≥ 6.

To find the period, we use the formula , and we substitute the values into the equation. The value B, is 1/3.

This can be simplified into 6π.

Since the periodicity is 6π, the graph hits the x-axis at intervals of 3π and -3π, and the graph also hits the x-axis at the origin.

Therefore, the amplitude of the function is 6, the period is 6π, and the function hits the x-axis during intervals of 3π.

its 4 because 2 times 2 is 4, if you double the number two you get four