What is the phase shift?

What is the phase shift?

The Phase Shift is how far the function is shifted horizontally from the usual position. The Vertical Shift is how far the function is shifted vertically from the usual position.

How do you find the vertical shift of a trig function?

Step 1: Remember the general form of a trig function. If you divide the C by the B (C / B), you’ll get your phase shift. The D is your vertical shift.

What is the vertical shift of a function?

Vertical shifts are outside changes that affect the output ( y- ) axis values and shift the function up or down. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

How do you find the vertical translation of a function?

Key Points

1. A translation is a function that moves every point a constant distance in a specified direction.
2. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .
3. A horizontal translation is generally given by the equation y=f(x−a) y = f ( x − a ) .

Is vertical stretch and horizontal compression the same?

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis.

How do you write a vertical translation?

A translation can move the graph of a function up or down ( Vertical Translation ) and right or left ( Horizontal Translation ). A vertical translation of function y=f(x) by k units is written in either y-k=f(x) or y=f(x)+k.

What does a vertical translation look like?

A vertical translation moves the graph up or down. An example of that would be: Here, the red graph has been moved up 10 units and the blue graph has been moved down 10 units. Here, the red graph has been moved to the left 10 units and the blue graph has been moved to the right 10 units.