Steps in Graphing a Transformation of a Sine Function
1) Do you know the shape of the final graph? (Is it a reflection of sine or not?) 2) Do you know the length of the period? (2pi/b=period) 3) Do you know the phase shift? (-c/b = phase shift) 4) Can you find five points that lie on the intended graph of the transformation? (three points on midline and two points at the extreme y values of the function) 5) Do you know where the midline is? (y = d) 6) Do you know what the sign of a tells you about the location of the points of the graph of the transformation? (Is a is negative? Where does the maximum and minimum live on the graph?)
Click on image to go to Desmos graph program. Note: c is given as a multiple of pi. Note: y = asin(bx+c)+d allows for all four transformations of sine graph
