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Trigonometric Function Transformations
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Reflection across the x-axis
Flips the graph over the x-axis, reversing the sign of the outputs.
Reflection across the y-axis
Flips the graph over the y-axis, altering the function's progression over the x-axis.
Horizontal shift
Shifts the graph to the left or right without altering its shape.
Horizontal stretch
Stretches or compresses the graph horizontally, affecting the period.
Period change
Alters the length of one complete cycle of the graph.
Vertical shift
Shifts the graph up or down without altering its shape.
Amplitude change
Adjusts the distance from the midline to the peak (or trough) of the graph.
Vertical stretch
Stretches or compresses the graph vertically, affecting the amplitude.
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