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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The amplitude is 4.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

Front

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

Back

The period is 4π.

Tags

CCSS.HSF.TF.A.4

Front

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

Back

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

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E

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.

Tags

CCSS.HSF-IF.C.7E