Exit Ticket Transformations of Trig Functions

Front

What is the period of a sine function in the form y = a sin(b(x + c))?

Back

The period is given by the formula: Period = (2π) / |b|.

Front

Find the period of y = -4sin[2(x + π)].

Back

π.

Front

What is the amplitude of a sine function in the form y = a sin(b(x + c))?

Back

The amplitude is given by |a|.

Front

Find the amplitude of y = -4sin[2(x + π)].

Back

4.

Front

What does a negative coefficient in front of the sine function indicate?

Back

It indicates a reflection over the x-axis.

Front

How does the value of 'b' affect the graph of a sine function?

Back

The value of 'b' affects the period of the function; larger values of 'b' result in a shorter period.

Front

What is the general form of a sine function?

Back

y = a sin(b(x + c)) + d, where a is the amplitude, b affects the period, c is the horizontal shift, and d is the vertical shift.

Front

What is the effect of the horizontal shift 'c' in the sine function?

Back

The horizontal shift 'c' moves the graph left or right.

Front

What is the vertical shift 'd' in the sine function?

Back

The vertical shift 'd' moves the graph up or down.

Front

If y = 3sin(x) + 2, what is the amplitude and vertical shift?

Back

Amplitude = 3, Vertical shift = 2.