Intercepts of trig graphs pdf

For the graph of y 2 sin x, reflect in the xaxis and apply a vertical stretch by a factor of 2. For the graph of y 3 sin x, apply a vertical stretch by a factor of 3. The period of the graph is for most trig functions, the period. The y intercept is 0,0, and the xintercepts zeros are multiples of 2\pi. To graph this function you would initially ignore the. These include the graph, domain, range, asymptotes if any, symmetry, x and y intercepts and maximum and minimum points. Each extreme max or min is exactly halfway between two intercepts. Know domain, range, period, and intercepts of the six parent trig functions. Finding the points of intersection of a line with a trig graph.

Amplitude a period or horizontal shift c vertical shift d steps to sketch 1. Topics cover know domain, range, period, and intercepts of the six parent trigonometric functions, download 273. The graph meets the y axis at the point a and the point b is one of the two x intercepts of the curve. Graphs of trigonometric functions worksheet pdf dsoftschools. Now that we know the unit circle inside out, lets graph the trigonometric. 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. The horizontal length of each cycle is called the period. After you get this graph, you would shift the graph down 5 units. Each graph shown above has a period of 2 the xintercepts for y sin x occur when x 0. Ut learning center jester a332 47614 revised 501 university of texas at austin graphs of trig functions domain. Graphing sinusoidal trig functions notes cosx page 2 31tz domain range o o o o periodic or cyclic. Goals p graph translations and reflections of sine and cosine graphs. Students build the sine and cosine functions using the unit circle and pasta. Graph the functions applying transformations using this information.