Graph the functions applying transformations using this information. Finding the points of intersection of a line with a trig graph. The shortest repeating portion of the graph is called a cycle. Students build the sine and cosine functions using the unit circle and pasta. Goals p graph translations and reflections of sine and cosine graphs. We can also obtain the graph of the sine function by using. Each intercept is exactly halfway between a maximum and a minimum. Know domain, range, period, and intercepts of the six parent trig functions.
The y intercept is 0,0, and the xintercepts zeros are multiples of 2\pi. Each graph shown above has a period of 2 the xintercepts for y sin x occur when x 0. Find amplitude, period, phase shift, and vertical displacement, as applicable, for all six trig functions. Amplitude a period or horizontal shift c vertical shift d steps to sketch 1. The zeros, or xintercepts, of y cos x are the values. The horizontal length of each cycle is called the period. Graphing sine, cosine, and tangent functions classzone. The graph meets the y axis at the point a and the point b is one of the two x intercepts of the curve. Ut learning center jester a332 47614 revised 501 university of texas at austin graphs of trig functions domain.
Now that we know the unit circle inside out, lets graph the trigonometric functions on the coordinate system. To graph this function you would initially ignore the. Graphing trig functions can be graphed on to an xyplane xcoordinates are in radians ycoordinates are the resuleot the trigonometric function at a particular radian value if graphed on calculator in degrees, correct graph will not appear start with sinusoidal functions sine and cosine o real life sinusoidal functions. For the graph of y 2 sin x, reflect in the xaxis and apply a vertical stretch by a factor of 2. Graphs of trigonometric functions worksheet pdf dsoftschools. Each extreme max or min is exactly halfway between two intercepts. After you get this graph, you would shift the graph down 5 units. Graphing sinusoidal trig functions notes cosx page 2 31tz domain range o o o o periodic or cyclic. Translations and reflections of trigonometric graphs. X and y intercepts worksheet day 3 identify the x and y. Find and graph the intercepts of the following linear equations. Topics cover know domain, range, period, and intercepts of the six parent trigonometric functions, download 273.
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