T.3 Flashcard/Test on Trig Graphs (Ch. 4)

Front

What is the formula to find the period of a sine or cosine graph?

Back

The period is given by the formula 2π/B, where B is the frequency.

Front

In the function y=a*sin(bx - c)+d, which parameter represents the vertical shift?

Back

The parameter 'd' represents the vertical shift.

Front

In the function y=a*sin(bx - c)+d, which parameter indicates the phase shift?

Back

The parameter 'c' indicates the phase shift.

Front

What is the period of the sine and cosine functions?

Back

The period of both y=sin x and y=cos x is 2π.

Front

What is the amplitude of the function y=a*sin(bx - c)+d?

Back

The amplitude is given by the absolute value of 'a'.

Front

How does changing the value of 'b' affect the graph of y=a*sin(bx - c)+d?

Back

Changing 'b' affects the frequency of the graph; a larger 'b' results in more cycles in the same interval.

Front

What is the difference between sine and cosine graphs?

Back

Sine graphs start at the origin (0,0), while cosine graphs start at their maximum value (0,a).

Front

What does a negative value of 'a' do to the sine or cosine graph?

Back

A negative value of 'a' reflects the graph across the x-axis.

Front

What is the effect of the parameter 'd' in the function y=a*sin(bx - c)+d?

Back

The parameter 'd' shifts the graph vertically up or down.

Front

How do you determine the x-intercepts of the sine function?

Back

The x-intercepts occur where y=sin x equals zero, which is at integer multiples of π.