Trig graphs

Front

What is the period of a sine or cosine graph?

Back

The period of a sine or cosine graph is given by the formula 2π/B, where B is the frequency of the graph.

Front

What is the equation of the graph with amplitude 2?

Back

The equation is y = 2 sin x.

Front

Write an equation for the cosine function with amplitude 3, period 2π, and vertical shift of 5.

Back

y = 3cos(x) + 5.

Front

What does the term 'amplitude' refer to in a sine or cosine graph?

Back

Amplitude represents half the distance between the maximum and minimum values of the graph.

Front

In the function y = asin(bx - c) + d, what does 'd' represent?

Back

The value 'd' represents the vertical shift of the graph.

Front

How do you find the amplitude of a sine or cosine function?

Back

The amplitude is the absolute value of the coefficient in front of the sine or cosine function.

Front

What is the frequency of a sine or cosine graph?

Back

Frequency is the number of cycles the graph completes in a unit interval, calculated as 1/period.

Front

What is the maximum value of the function y = 3sin(x) + 2?

Back

The maximum value is 3 + 2 = 5.

Front

What is the minimum value of the function y = 2cos(x) - 1?

Back

The minimum value is -2 - 1 = -3.

Front

How does a vertical shift affect the graph of a sine or cosine function?

Back

A vertical shift moves the entire graph up or down without changing its shape.