The amplitude or peak amplitude of a wave or vibration is a measure of deviation from its central value. Amplitudes are always positive numbers (for example: 3.5, 1, 120) and are never negative (for example: -3.5, -1, -120).
Can a sine graph be negative?
The intersections of this graph and the x-axis are still at x=0, x=pi, and x=2pi. The difference with a negative value of a however, is our sine curve now has a negative amplitude . In other words, our graphs are the same as when a was a positive value, but are now reflected across the x-axis.
Can the amplitude of a sine graph be negative?
An amplitude cannot be negative since it is defined as a half the distance, which cannot be negative, between the maximum value and the minimum value.
How does amplitude affect a sine graph?
Clearly we can see the affect a has on the graph y = a sin (bx + c). When 0 < a < 1, the amplitude of the graph decreases , causing the slopes of the graph to appear more “flat”. ... Changing the a from positive to negative reflects the graph across the x-axis.
What is the amplitude of a sine curve?
The amplitude of the sine function is the distance from the middle value or line running through the graph up to the highest point. In other words, the amplitude is half the distance from the lowest value to the highest value .
How do you know if a trig graph is negative or positive?
The distance from a point to the origin is always positive, but the signs of the x and y coordinates may be positive or negative . Thus, in the first quadrant, where x and y coordinates are all positive, all six trigonometric functions have positive values.
What does a sine curve look like?
The shape of the sine curve is the same for each full rotation of the angle and so the function is called ‘periodic’. The period of the function is 360° or 2π radians. You can rotate the point as many times as you like. This means you can find the sine of any angle, no matter how large.
How do you increase the amplitude of a sine wave?
Multiplying a sine or cosine function by a constant changes the graph of the parent function ; specifically, you change the amplitude of the graph. When measuring the height of a graph, you measure the distance between the maximum crest and the minimum wave.
Which letter affects the amplitude of a graph?
The letter A represents the amplitude of the sine or cosine function, and it affects the steepness or flatness of the graphs of any of the trig functions. If the absolute value (ignore the + or – sign) of A is some number greater than 1, then the graph is steeper than usual.
How do you find the amplitude of a sine graph?
Amplitude is the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat. Using this equation: Amplitude =APeriod =2πBHorizontal shift to the left =CVertical shift =D .
How do you find amplitude?
The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.
What is amplitude of a function?
The amplitude of a function is the amount by which the graph of the function
What do you mean by amplitude?
Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position . It is equal to one-half the length of the vibration path.
Does a sine graph always start at 0?
The Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°). It starts at 0 , heads up to 1 by π/2 radians (90°) and then heads down to −1.
What happens to the graph when a is negative?
If a is negative, the graph of the parabola opens down instead of up . The b-value of a parabola helps to determine the rate at which the parabola increases and decreases, and it also helps to determine the position of the vertex of the parabola.
What is a period on a trig graph?
The period is the distance between each repeating wave of the function , so from tip to tip of the function’s graph. As you can see from this graph, the distance between the tips of the function is 3.034 – 1.463 = 1.57.
