Graphing Trig Functions

Front

What is the vertical shift in the function y = 4cos(1/2x + π) - 2?

Back

The vertical shift is down 2.

Front

What is the amplitude of the function y = 4cos(1/2x + π) - 2?

Back

The amplitude is 4.

Front

What is the general form of a cosine function?

Back

y = A cos(Bx + C) + D, where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

Front

What is the period of the function y = cos(1/2x)?

Back

The period is 4π.

Front

What does the 'A' in the function y = A sin(Bx) represent?

Back

The 'A' represents the amplitude of the sine function.

Front

What is the difference between sine and cosine functions?

Back

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

Front

What is the equation for the tangent function?

Back

y = tan(x) = sin(x)/cos(x).

Front

What is the vertical asymptote of the function y = tan(x)?

Back

The vertical asymptotes occur at x = (π/2) + nπ, where n is an integer.

Front

What is the range of the function y = sec(x)?

Back

The range is y ≤ -1 or y ≥ 1.

Front

What is the phase shift of the function y = sin(x - π/2)?

Back

The phase shift is π/2 to the right.