Question

I need help with this practice Having trouble solving If you can, use Desmos to graph

Answer 1

The expression we have is:

`f(x)=-4\cos ((2)/(3)x+(\pi)/(3))-3`

This is a cosine function, which means that the graph will look like a cosx graph (like a wave) but in this case, since we have a - sign in the front the cosx graph will be mirrored across the x-axis, and the 4 indicates an amplitude of 4. Also, -3 indicates a translation of 3 units down.

The result for the graph of the given function is:

We have changed the x-axis labels for marks referring to pi because it is more useful when we have cosine functions, also we include at least one full period (one repetition of the wave pattern).

Answer: