What are the transformations of a sine function?
Period, Midline, and Amplitude. Changes to the amplitude, period, and midline are called transformations of the basic sine and cosine graphs. Changing the midline shifts the graph vertically. Changing the amplitude stretches or compresses the graph vertically.
How do you transform a sine function into a cosine function?
The general equation for a sine and cosine curve is y=Asin(x−h)+k and y=Acos(x−h)+k,respectively. Similar to other function transformations, h is the horizontal shift (also called a phase shift), and k is the vertical shift.
How do you graph a sine function on a calculator?
1) Press the [Y=] key to access the Y= Editor. 2) With the cursor next to Y1, press [SIN] [X,T,q,n] [ )]. 3) Press the [GRAPH] key to graph the function.
How do you change a sin graph?
You can move a sine curve up or down by simply adding or subtracting a number from the equation of the curve. For example, the graph of y = sin x + 4 moves the whole curve up 4 units, with the sine curve crossing back and forth over the line y = 4.
What are the parts of a sinusoidal function?
Midline, amplitude, and period are three features of sinusoidal graphs.
What does a sine graph look like?
To graph the sine function, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1. Curves that follow this shape are called ‘sinusoidal’ after the name of the sine function.
How do you do transformations of a function?
The function translation / transformation rules:
- f (x) + b shifts the function b units upward.
- f (x) − b shifts the function b units downward.
- f (x + b) shifts the function b units to the left.
- f (x − b) shifts the function b units to the right.
- −f (x) reflects the function in the x-axis (that is, upside-down).