Transforming Trig Functions

Front

What measures the distance from the midline to the max or min of a sine or cosine function?

Back

Amplitude

Front

Is the amplitude always a positive number?

Back

TRUE

Front

What is 1/0 equal to?

Back

undefined

Front

Is the period always a positive number?

Back

TRUE

Front

What is the period of the parent function y = sin(x) if no horizontal stretches or compressions exist?

Back

360

Front

What is the formula for the amplitude of a transformed sine function y = A sin(B(x - C)) + D?

Back

|A|

Front

What does the variable 'B' in the sine function affect?

Back

The period of the function, calculated as 2π/|B|.

Front

What is the vertical shift in the function y = A sin(B(x - C)) + D?

Back

D, which moves the graph up or down.

Front

What is the horizontal shift in the function y = A sin(B(x - C)) + D?

Back

C, which moves the graph left or right.

Front

What is the period of the function y = cos(2x)?

Back

π (since period = 2π/|B| = 2π/2).