Graph one period of the function. Use your understanding of transformations, not your graphing calculators

transformations
period-function

#1

graph one period of the function. Use your understanding of transformations, not your graphing calculators. Be sure to show the scale on both axes.

Answer:

The sine function has a period of 2π because it first crosses the x-axis when x=0 and completes one ‘‘cycle’’ when x= 2π.

period= 2π

The sine function oscillates between 1 and -1 on the y-axis, but since it is multiplied by 2 it has an amplitude of 2 instead.

x-scale: [0, 2π]
y-scale: [-2, 2]