DETERMINAR LA AMPLITUD, PERÍODO, DESFASE Y DESPLAZAMIENTO VERTICAL. #matematica #periodo #desfase

Understanding Trigonometric Functions: Amplitude, Period, Phase Shift, and Vertical Displacement

Introduction to Trigonometric Function Elements

• Daniela introduces the video topic, which focuses on determining the amplitude, period, phase shift, and vertical displacement of a given trigonometric function.

• She explains that each element of the function will be represented by specific letters for clarity:

• The coefficient in front of the function is denoted as 'a'.

• The coefficient associated with 'x' is labeled as 'b'.

• The constant term following 'pi' is referred to as 'c'.

Calculating Amplitude

• The formula for amplitude is introduced as the absolute value of 'a'. In this case:

• The value of 'a' is -4.

• Therefore, the amplitude calculated is |−4| = 4.

Determining Period

• For calculating the period, Daniela provides the formula textPeriod = 2pi/b :

• Substituting in values gives 2pi/2 = pi .

• This simplifies to a period of pi .

Understanding Phase Shift

• The phase shift is determined using the formula textPhase Shift = -c/b :

• Here, c equals π and b equals 2.

• Thus, substituting these values results in a phase shift of +pi/2 .

Vertical Displacement