The Period goes from one peak to the next (or from any point to the next matching point): The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure …

The amplitude of a periodic function is the distance from the midline to the peak or trough. The peak is the highest point of a function, and the trough is the lowest point of a periodic function. …

2022年5月4日 · Given any function of the form \(y=a \sin b x\) or \(y=a \cos b x\), you know how to find the amplitude and period and how to use this information to graph the functions. Given a …

Use the form asin(bx−c)+ d a sin (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| | a |. Find the period of sin(π+6x) …

2022年7月13日 · Amplitude, midline, and period, when combined with vertical flips, allow us to write equations for a variety of sinusoidal situations. Exercise \(\PageIndex{3}\) If a sinusoidal …

2025年1月16日 · The amplitude represents the height of the curve, while the period measures the length of one complete cycle of the function. The amplitude of a trigonometric function refers to …

Based on the information provided, we can determine the amplitude, midline, period, and an equation involving the sine function. The amplitude (A) of a sine function is the distance from …

Amplitude: A = 3; Midline: y = 2; Period: P = 4; Equation: y = 3 * sin((π / 2) * x) + 2; Make sure to adjust the values based on the specific graph you are analyzing. For instance, if the highest …

2024年4月10日 · To determine the amplitude, midline, and period of the graph, let's first observe the given points and their corresponding y-values. The amplitude of a periodic function is the …

In the equation y = A*sin(Bx - C) + D, the amplitude is |A|. Midline. The midline of a sine function is the horizontal line around which the graph oscillates. It's given by the constant D in the …