5/5; Do Now Trig Graphs

Front

What is the equation of a sine function that is shifted to the left by π/2?

Back

y = sin(x + π/2)

Front

What is the effect of multiplying the input of a sine function by a factor greater than 1?

Back

It compresses the graph horizontally.

Front

What is the equation of a cosine function that is reflected over the x-axis and shifted down by 3?

Back

y = -2 cos x - 3

Front

How can you identify a cosine function from its graph?

Back

A cosine function starts at its maximum value when x = 0.

Front

What is the equation of a cosine function that is compressed horizontally by a factor of 2?

Back

y = cos(2x)

Front

What is the amplitude of the function y = 3 sin x?

Back

The amplitude is 3.

Front

What is the period of the function y = sin(3x)?

Back

The period is 2π/3.

Front

What does a negative coefficient in front of a cosine function indicate?

Back

It indicates a reflection over the x-axis.

Front

What is the general form of a sine function?

Back

y = A sin(B(x - C)) + D, where A is amplitude, B affects period, C is phase shift, and D is vertical shift.

Front

What is the phase shift of the function y = sin(x - π)?

Back

The phase shift is π to the right.