Sine and Cosine Graphs Test Review

Front

What is the period of a sine or cosine function?

Back

The period is the distance along the x-axis for one complete cycle of the wave. For sine and cosine functions, the period is given by the formula: Period = 2π / |B|, where B is the coefficient of x in the function.

Front

Where does the graph of cosine begin?

Back

The graph of cosine begins at the point (0, 1).

Front

What does a negative A value cause in a sine or cosine function?

Back

A negative A value causes a reflection across the X-axis.

Front

Which trig function does the graph that starts at (0, 1) represent?

Back

The graph that starts at (0, 1) represents the cosine function.

Front

What is the amplitude of a sine or cosine function?

Back

The amplitude is the maximum distance from the midline of the graph to its peak or trough. It is given by the absolute value of A in the function y = A sin(Bx + C) + D or y = A cos(Bx + C) + D.

Front

What is the midline of a sine or cosine graph?

Back

The midline is the horizontal line that runs through the middle of the graph, calculated as y = D in the function y = A sin(Bx + C) + D or y = A cos(Bx + C) + D.

Front

How does changing the value of B affect the period of the graph?

Back

Changing the value of B affects the period of the graph. A larger value of B results in a shorter period, while a smaller value of B results in a longer period.

Front

What is the phase shift in a sine or cosine function?

Back

The phase shift is the horizontal shift left or right for the graph, determined by the value of C in the function y = A sin(Bx + C) + D or y = A cos(Bx + C) + D.

Front

What is the range of a sine or cosine function?

Back

The range of a sine or cosine function is the set of possible output values, which is from -|A| + D to |A| + D.

Front

What effect does changing the value of D have on the graph?

Back

Changing the value of D shifts the graph vertically up or down, affecting the midline.