Mr Hickman's Class 2021-2022
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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?)

Picture

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

DESMOS SIne Function Link

9-27-18 AB Sine Function ASSIGNMENT

Sine Graphs from 9-27-18 AB Assignment

9-27-18 ABC Sine Function ASSIGNMENT

Sine Graphs from 9-27-18 AB Assignment

Mr Hickman is available for assistance after school practically anytime.  Talk to me to be certain that I am aware you are coming and 99% of the time I will be able to help you