Question

Draw the following graph by showing each step, including the base graph, on the same set of axes. Be sure the the original function shows at least two cycles (that is, starts at -360° and goes to 360°)

Answer 1

- Using a graphing calculator, we can graph the function given to us.

- The parent graph of this function has to be the cosine function since the function given is characterized majorly by the cosine function.

- Thus, we can plot the parent function (or original function) as follows:

- The parent graph is given above.

- The function we have been given to plot, simply tells us that the amplitude is no longer 1, but is now 2.

- The negative sign shows us that the function will be flipped about the x-axis.

- The -1 shows us that the function will be shifted downwards by 1 unit.

- Plotting the function along with its parent on the same graph, we have: