5/9/2023 0 Comments Desmos graphing trigOne x intercept is a (0, 22.5°), the other will be at ¾ of 90°, which is 67.5°. Starting at 0°, and moving ¼ of the period (90°), we end up at 22.5°. The x – intercepts for cosine happen at ¼ of the period and ¾ of the period. Since the amplitude is 2, the minimum will be (45°, -2). Since the period started at 90° (or π/2), half way would be 45°, or just π/4. Key Features: The minimum of cosine occurs at the half-way point of one period (or cycle). Since B = 4, the period will be 360/4, which is 90° (or π/2). Maybe you already noticed, but 360/120 = 3, and B = 3.Įxample: What are the amplitude and period of y = 2cos(4 x)? The period of the y = 2sin(3 x) is 120°, which on the graph is in radians, 2π/3. The “parent” function, sine, is in red, the transformation is in blue.įirst, did you notice that the amplitude of y = 2sin(3 x) is 2, and A = 2? That’s no coincidence. On the graph (from ), what you’ll see are the coordinates for all of the key features from one period of each graph. Let’s compare that graph to regular y = sin( x) so we can see what the parameters of A and B do. In the previous section we graphed y = 2sin(3 x).
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