# How do you find the period and phase shift?

Table of Contents

## How do you find the period and phase shift?

Or we can measure the height from highest to lowest points and divide that by 2. The Phase Shift is how far the function is shifted horizontally from the usual position….Now we can see:

- amplitude is A = 3.
- period is 2π/100 = 0.02 π
- phase shift is C = 0.01 (to the left)
- vertical shift is D = 0.

## How do you know if a phase shift is left or right?

If the horizontal shift is positive, the shifting moves to the right. If the horizontal shift is negative, the shifting moves to the left. the horizontal shift is obtained by determining the change being made to the x-value.

**What is phase shift in trigonometry?**

Phase Shift is a shift when the graph of the sine function and cosine function is shifted left or right from their usual position or we can say that in phase shift the function is shifted horizontally how far from the usual position. Generally, functions are shifted (π/2) from the usual position.

**How do you explain phase shift?**

Techopedia Explains Phase Shift Phase shift simply means that the two signals are at different points of their cycle at a given time. Phase shift is measured as the angle (in degrees or radians) between two points on a circle at the same time, demonstrating the progress of each wave through its cycle.

### Is phase shift negative or positive?

phase shift can be affected by both shifting right/left and horizontal stretch/shrink. Phase shift is positive (for a shift to the right) or negative (for a shift to the left). The easiest way to find phase shift is to determine the new ‘starting point’ for the curve.

### What is the vertical shift of a cosine function?

The phase shift is given by the value being added or subtracted inside the cosine function; here the shift is units to the right. The only unexamined attribute of the graph is the vertical shift, so -3 is the vertical shift of the graph.

**What is the period of cosine?**

The period of a periodic function is the interval of x-values on which the cycle of the graph that’s repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2π.

**What does a negative phase shift mean?**

movement to the right

The phase shift of a sine curve is how much the curve shifts from zero. If the phase shift is zero, the curve starts at the origin, but it can move left or right depending on the phase shift. A negative phase shift indicates a movement to the right, and a positive phase shift indicates movement to the left.

## How do you find vertical and phase shift?

If you divide the C by the B (C / B), you’ll get your phase shift. The D is your vertical shift. The vertical shift of a trig function is the amount by which a trig function is transposed along the y-axis, or, in simpler terms, the amount it is shifted up or down.

## What is phase shift of a function?

**Is phase shift always positive?**