Graphing a Sine Function with a Transformation
At the 5:07 mark he says the y-coordinate on the max is 0, but it is actually 1. At the 5:24 mark, he says the y=coordinate on the min in 0, but it is actually -1.
In this lesson, we learn how to graph a sine function with a transformation, specifically a vertical and horizontal shift. Using the formula for the amplitude and period, we graph the parent function before applying the transformation. It's important to be careful with the placement of the y-axis, as the horizontal shift can be either left or right. Finally, we find the key points, including intercepts and min/max values, to complete the graph. Understanding how to graph sine functions with transformations allows for a deeper understanding of trigonometry and its applications.
Graphing a sine function with a transformation
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- What does the graph of y=sin(x)look like?
- How do I shift the graph of y=sin(x) horizontally?
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Staff Review
The instuctor shows how to graph one period of the sine curve and then perform a horizontal shift on the graph. He also shows the equation of the shifted graph.
