Horizontal Dilation of Sinusoidal Graph
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This example allows students to practice finding the equation that matches a given sinusoidal graph. This version focuses only on horizontal dilations. By adjusting the slider, students can observe and understand the effect of horizontal dilation on the sinusoidal graph. Key mathematical concepts include the sine function and transformations. The example uses GeoGebra functions and slider animation.
GeoGebra Commands & Parameters
{0.5, 0.3333333333333333, 0.25, 1.5, 2, 3}f(x) = sin(x / Element[a, Random[1, 6]])
AI Drawing Prompt Reference
Draw a sine function graph with a slider to adjust the horizontal dilation parameter, showing the effect of different dilation coefficients on the sine curve and emphasizing the relationship between the sine function and its transformations.
The prompt above was compiled from the original drawing commands and is for reference only.