Transforming Trig Functions

Front

What is the amplitude of a trigonometric function?

Back

The amplitude is the maximum distance from the midline of the graph to its peak or trough, and it is always a positive number.

Front

In the function y=a*sin(bx)+d, what does 'a' represent?

Back

'a' represents the amplitude and indicates vertical stretch or compression of the function.

Front

In the function y=a*sin(bx)+d, what does 'd' represent?

Back

'd' represents the vertical translation of the function, shifting it up or down.

Front

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

Back

The period of the parent function y = sin(x) is 360 degrees.

Front

What happens to the graph of y = sin(x) when 'b' is greater than 1?

Back

When 'b' is greater than 1, the graph undergoes a horizontal compression, resulting in a shorter period.

Front

What is the effect of a negative 'a' value in the function y=a*sin(bx)+d?

Back

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

Front

What is the relationship between the values of 'a' and the amplitude?

Back

The amplitude is equal to the absolute value of 'a'.

Front

What does a period of 720 degrees indicate in a trigonometric function?

Back

A period of 720 degrees indicates that the function completes one full cycle over 720 degrees.

Front

What is the result of dividing 0 by -1?

Back

0 divided by -1 equals 0.

Front

How does a vertical stretch affect the graph of a sine function?

Back

A vertical stretch increases the distance between the peaks and troughs of the graph.